Among all of the pairs of numbers whose sum is 6, find the pair with the largest product. What is the product?

Q: How much bigger is the garden on the left than the garden on the right

A: Redrawn the given figure

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: 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 two positive numbers that satisfy the given requirements.

A: Let the numbers be x and y,Their product is 147,xy = 147y = 147x              .........(1)given that…

Q: Divide 120 into parts so that the product of one and the square of the other is maximum, find the…

A: Consider the two numbers be 120-x and x. Consider the function fx be product of 120-x and x2.…

Q: Among all pairs of numbers whose sum is 86, find a pair whose product is as large as 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 three consecutive odd integers such that the sum of twice the first and three times a second is…

A: Just I have used the given statement and easily find the required solution. 7 , 9 and 11 are the…

Q: Two integers differ by 17 and thier product is 60. What are the integers?

A: It is given that, Two integers differ by 17 and their product is 60

Q: What two positive numbers whose sum is 90, and the square of their difference times the cube of the…

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the…

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

A:

Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

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 two numbers with a sum that is the first number and a product that is the second number.

A: let two number x and y according to question x+y=x x.y=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 three consecutive positive integers such that the product of the first and second is 32 more…

A: Explained below

Q: Find three consecutive odd intergers such that the product of the two larger numbers is 18more than…

A: To form the equation satisfied by the required integers  and therby solve for them

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: If a number is added to the numerator of 2/7, and twice the number is subtracted from the…

A: In this question we have to form mathematical expression with given condition and then solve for a…

Q: a FIND FOUR CONSEeuTIVE ODD INTEGERS WHOSE SuM IS 4,968. b) IF EIGHT TIMES A CERTAIN NUMBER IS…

A: Given: a) four consecutive odd numbers whose sum is 9968 b)If 8 times a certain number is increased…

Q: Three consecutive integers are such that the sum of the square of the first and the product of the…

A: Consider that the three consecutive integers be x-1,x and x+1, here x is an integer. Since, sum of…

Q: A number, x, increased by 3 is multiplied by the same number, x, increased by 4. What is the product…

A: When number X is increased by 3  We will get X+3 When number X is increased by 4 We will get X+4

Q: 5) Find two consecutive odd numbers such that two less than three times the larger number is six…

A: Let x and y are two consecutive odd numbers. So, y=x+2 Two less than three times the larger number…

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

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Q: What is the smallest product of two numbers if their difference is 12?

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Q: The product of the ages of A and N is 240. If twice the age of N is more than A’s age by 4 years,…

A: Let the age of A be a and the age of N be n. The given relations can be written as follows.

Q: Find two positive numbers that satisfy the given requirements.

A: Let x = First number , y= second number   As per given, x3+y=500⇒y=500-x3      (i)

Q: find three consecutive even integers such that the sum of twice the first and three times the second…

A:

Q: among all pairs of numbers with a sum of 229 find the pair whose product is maximum

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Q: Find two nonnegative numbers such that the sum of first number and 3 times the second number is 1200…

A:

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 numbers whose product is 65 and whose sum is 18

A: Let the two numbers be x and y.

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The…

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

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: A football team lost four yards on each of three consecutiveplays. Represent the total loss as a…

A: The total number of loss is 3 and the team lost 4 years. And lost means negative yardage.

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 3 consecutive even integers such that the sum of the second and the third integers is equal to…

A: take 2n,   2n+2,  2n+4. as three consecutive even integers.  Then perform the operation as said in…

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 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 whose product is 36 and whose sum is a minimum. (smaller number) (larger…

A: Our Aim is to find two positive numbers whose product is 36 and whose sum is a minimum.Let 'x'…

Q: he sum of one number and four times the second is 24. Their product ust be as large as possible.…

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Q: The sum of three consecutive numbers in a geometric progresslofn is 15 anu product is 27. What are…

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Q: The product of two positive integers is 48, and their sum is 14. What are the integers?

A: let two integeres are X and Y  product is X*Y = 48 sum X+ Y = 14 detailed solution is given below

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 two numbers differing by 38 whose product is as small as possible

A: let  one number = x  as difference between numbers = 38 other number = x + 38   Product of two…