Find two positive integers such that the sum of the first and five times the second number is 2000 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 two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

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: What two positive real numbers whose product is 72 have the smallest possible sum?

A: let two real numbers are a and b then according to question ab=72..........(I) let sum is S then…

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

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

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Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

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

A: Solution

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

A:

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

Q: - Find two positive even consecutive integers such that the square of the smaller integer is 10 more…

A: Consider the first even positive integer be 'x'. The second consecutive even positive integer be…

Q: Find two numbers whose sum is a if the product of the square of one by the cube of the other is to…

A: Consider the first number be 'x'. The second number be 'y'. The sum of the numbers is given by a.…

Q: Find three consecutive even integers such that three times the sum of the smaller two integers is 22…

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

A: Explained below

Q: Find two real numbers x and y whose sum is 36 and whose product is as large as possible

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Q: The product two odd integers is even, whereas the product of an odd integer and an even integer is…

A: The product of two odd integers is odd. The product of an odd integer and an even integer is even.

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 the maximum product of two positive numbers with the sum of 300.

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Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: Show that the sum of a positive number and its reciprocal is at least 2.

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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 the three positive numbers whose sum is 48 and whose 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 two nonnegative numbers such that the sum of first number and 3 times the second number is 1200…

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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 positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

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 two consecutive integers such that tn more than twice the smaller is seven less than three…

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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 the two consecutive positive integers such that the square of the first is decreased by 17…

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

A: Given: The sum of first number and four times the second number is 1000. The product of two numbers…

Q: Find two integers whose sum is 140 and whose product is as large as possible.

A: Topic=Algebra Two integers are 70 and 70.

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

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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: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: The width of a rectangular area is 10 m and its height is (2x – 4) m. If the area is less than 80…

A:

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

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 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: Find two positive numbers whose sum is 9 and the product of one number and the square of the other…

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

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Statements and Logic

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