Find two nonnegative numbers such that the sum of first number and 3 times the second number is 1200 and the product of the numbers is as large as possible.

Q: Find three consecutive even intergers such that the product of two smaller numbers is the same as…

A: Let the consecutive even integers be  x, x+2,x+4, where x  is even , then we use the given condition…

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: Find three consecutive even integers such that the sum of the squares of the first two is four less…

A: Let the three consecutive even integers are n , n+2, n+4

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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Q: Find two positive integers such that the sum of the first and five times the second number is 2000…

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Q: 17) One positive integer is 17 more than a second positive integer. If the sum of the first integer…

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Q: Find two nonnegative numbers whose sum is 9 and so that the product of one number and the square of…

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Q: The digit of positive integer, having three digits are in AP. And are their sum is 15. The number…

A: given that three digits sum is 15number obtained by reversing the digits is 594 less than the…

Q: The product of two positive integers is 30, and their sum is 17. What are the integers?

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Q: Find three consecutive odd integers such that their sum decreased by the second equals 50.

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Q: Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum.

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have…

Q: Find all sets of three positive consecutive even integers such that twice the sum of the two is less…

A: First take three consecutive even integer and then satisfied condition

Q: Find three consecutive integers such that the sum of the first, twice thesecond, and three times the…

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Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

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Q: the sum of four consecutive odd integers if the first integer is x

A: The first integer is x.In general, the consecutive odd integers are, x + 2n where n = 0, 1, 2,…Thus,…

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A: The solution to the given question is explained below. We use partial differentiation technique to…

Q: Verify that for any three consecutive integers, the sum of the smallest and largest is equal to…

A: Given: Three consecutive integers.

Q: Find three consecutive odd integers such that the product of the first and the second is 8 more than…

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Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

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Q: Find three consecutive even integers such that three times the smallest integer is four more than…

A: Given,         The three consecutive even integers such that three times the smallest integer is…

Q: The product of two positive integers is 112, and their sum is 22. What are the integers?

A: Since, we have been given that the product of integers is 112 and their sum is 22.Let 'x' and 'y'…

Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: Find two non-negative numbers such that the sum of two times the first and three times the second s…

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Q: Find the numbers whose sum is 20, if the product of one by the cube of the other is to be maximum.

A: This question is about sum and product of 2 numbers & to find maximum.

Q: Find three consecutive positive integers such that the product of the first and second is 32 more…

A: Explained below

Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Find two positive real numbers such that they sum to 108 and the product of the first times the…

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Q: Among those positive real numbers x and y whose sum is 50, find these numbers that makes their…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find three positive numbers that sum to 150 with the largest possible product of the three.

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Q: Find three positive numbers whose sum is 24 and such that their product is as large as possible.

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Q: Find three positive numbers that sum to 150 with the greatest possibleproduct of the three.

A: Given: we to find three numbers that sum to 150

Q: Find three consecutive odd integers such that the product of the first two is 52 more than the third…

A: Let the three consecutive odd integers are  n-2, n and n+2 So as per question, product of first two…

Q: Find two nonnegative numbers such that the sum of first number and 4 times the second number is 1600…

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Q: Find three consecutive odd integers such that the sum of the first and second is 27 ess than the…

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Q: find three consecutive odd integers such that the sum of the first and the second is sixteen more…

A: Given:The three consecutive integers are odd numbers.The sum of the first two consecutive odd number…

Q: Find two numbers such that the sum of the first and twice the second is 56 and whose product is…

A: Sum of the first and twice the second is 56.

Q: Find two positive numbers whose sum is 84 and whose product is as big as possible.

A: It is number Problem.

Q: Find two concecutive odd integers such that when the smaller is added to twice the larger, the…

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Q: Find the two positive numbers whose product is a maximum and the sum of one is five times the other…

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Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: Find two positive real numbers whose product is a maximum. The sum of the first and three times the…

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Q: Find the three consecutive integers such that that product of the first and third is one less than…

A: Take three consecutive integer as below :n-1, n , n+1

Q: Divide the number 120 into two parts such that the product of one part and the square of the other…

A: To divide the number 120 into two parts such that the product of one part and the square of the…

Q: Find two positive real numbers whose sum is 40 and whose product is a maximum.

A: A function f(x) is said to have a maximum value at a point c when the first derivative of the…

Q: Find two positive real numbers whose product is a maximum. The sum of the first and three times the…

A: Here, we need to find two positive real numbers whose product is a maximum. The sum of the first and…

Q: Write the number 240 as a sum of three numbers so that the sum of the products taken two at a time…

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Q: Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given…

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Q: The sum of three positive number is 30. The first plus twice the second plus three times the third…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.