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

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

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: 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: Find the positive number which gives the smallest answer when you add its square to 16 times its…

A: Let the number is x So,  when I add its square to 16 times its reciprocal, then I get: We have to…

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

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Q: The sum is 110.Find two positive real numbers whose product is a maximum.

A: Given: The sum is 110.

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

A:

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: Find two numbers whose product is 110, and whose sum is 21.

A: Solve for the find two numbers

Q: A two digit number is four times the sum and three times the oorduct of it's digit .Find the number

A:

Q: the sum of the three consecutive odd integers is 219. What is the largest of the three?

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: The product of two consecutive positive even integers is 14 more than their sum. Find the integers.

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: Find two consecutive even integers if one-third of the  smaller is equal to the one-fourth of the…

A:

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 four consecutive even integers so that the sum of the first three is 2 more than twice the…

A: Let's assume first four even integers are 2m, 2m+1, 2m+2, 2m+3 Now, if sum of the first three is 2…

Q: Find two numbers whose sum is 24 and whose product is as large as possible

A: Solution: The objective is to find the two numbers whose sum is 24 and whose product is as large as…

Q: Find the two consecutive odd positive integers sum of whose square is 290

A:

Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

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 two consecutive integers such that three times the larger is the same as 47 more than the…

A:

Q: Find three consecutive odd integers such that the sum of the first and second is 59 less than three…

A: Let the three consecutive odd integers be n-2, n and n+2.

Q: The pair of numbers whose difference is 18 and whose product is as small as possible is

A:

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: Find two numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

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

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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 the two numbers whose sum is 28 and whose product is 192

A: Let's find.

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: A lab technician cuts a 12 inch piece off tubing into two pieces in such a way that one piece is 2…

A:

Q: Find two numbers whose product is 65 and whose sum is 18

A: Let the two numbers be x and y.

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: Determine what will be the three positive numbers that its product is 27 and its sum is as small as…

A: We will find the three numbers satisfying the given conditions.

Q: The consecutive pages have a product that is 72. What are the page numbers?

A: We have to determine the consecutive product of page numbers

Q: Find the two consecutive odd positive integers sum of whose squares is 290

A:

Q: A two digit number is four times the sum and three times the product of it's digits .find the number

A: We can find the answer as below

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 two numbers whose sum is 9 and whose product is −36.

A: To determine the value of the numbers.

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: find two consecutive even integers if the sum of their squares is 164

A:

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

A:

Q: Distribute $1000 into 3 parts so that one part will be three times as large as the second and the…

A: GivenTotal distribute=$1000

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

A:

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.