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

Q: There are three consecutive even integers. If twice the first integer added to the second is…

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Q: Find 3 consecutive  odd integers such that 4 times the third  is 35 more than the first

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Q: Find three consecutive integers such that the sum of twice the first and three times the second is 7…

A: We have to find the value of three consecutive integers for given condition.

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

Q: When a number is multiplied by 4 before subtracting from 68, the result obtained is the same as…

A: Let the number of our interest be x. Let us see the first half of statement. The number is first…

Q: Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 60 quarts…

A: Given,         5% butterfat milk and 2% butterfat milk should be mixed to yield 60 quarts…

Q: Six times the sum of two positive consecutive odd integers is one more than the product of the two…

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Q: Find two numbers whose difference is 64 and whose product is a minimum. smaller number larger number

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Q: The sum of some three-digit number and 10 times the sum of its digit is 496. Find that number.

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Q: The sum of the first and second of three consecutive even integers is 138. Find the three even…

A: Let us consider the three even integers as:   2k, 2(k+1), 2(k+2)

Q: Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244.…

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Q: Find three real numbers whose sum is 9 and the sum of whose squares is as small as possible.

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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

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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: When a number is multiplied by 4 before subtracting from 68, the result obțained is the same as…

A: First of all assume the number to be x and as it is given in the question that 4 is multiplied with…

Q: A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are…

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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: The sum of three consecutive even integers is -294.what is the largest integer?

A: Since, sum of three consecutive even integers is -294, Then our aim is to tell the largest integer.

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: The sum of six different integers is -70. If the smallest of these integers is - 15 what is the…

A: To Determine: what is the largest possible value of one of the other five integers ? Given: The sum…

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 3 consecutive odd integers such that 3 times the third is 26 more than the first

A: We have to find numbers

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

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Q: A sum of $280 is to be used to award four prizes. If each prize after the first is $20 less than its…

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Q: Find 4 numbers in ap whose sum is 20 and the sum of whose squares is 120

A: Let the numbers in A.P be (a−3d),(a−d),(a+d),(a+3d).

Q: A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find…

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

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

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Q: Find all three digit numbers that multiplied by 6 give a three digit number with the same sum of…

A: Given data:- Given number will be of 3 digit number A number obtained after multiplication by 6 also…

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

A: Let the two numbers be x and y.

Q: Split the number 750 into two numbers æ and y so that the sum of 8% of the first number and 24% of…

A: An equation is a statement in which two algebraic expressions are equal. If the equation is of the…

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

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Q: Find how many quarts of 4​% butterfat milk and 1​% butterfat milk should be mixed to yield 60 quarts…

A: Given: There are two types of butterfat milk that should be mixed to yield 60 quarts of 3% butterfat…

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: The sum of two digit number and the number obtained by reversing the order of its digits is 165. If…

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Q: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

A: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

Q: Find three consecutive odd integers such that four times the middle integer is two less than the sum…

A: We have to find

Q: Find two consecutive odd integers such that when three times the smaller is added to twice the…

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Q: ind the product of two numbers whose sum is 11 and difference is 3

A: Here from the given information, first, we have to find two numbers whose sum is 11 and the…

Q: Find three consecutive odd integers whose sum is 555. (Hint: if n represents the smallest of the…

A: The sum of there consecutive odd integers is 555. n represents the smallest of the three integers,…

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: Find 3 consecutive even integers such that 5 times the second is 82 more than the first.

A: Let, Three consecutive even integers be a, a+2, a+4. Given that 5 times the second is 82 more than…

Q: Find two numbers whose sum is 9 and whose product is −36.

A: To determine the value of the numbers.

Q: Find three consecutive integers such that four times the square of the third, minus three times the…

A: Three consecutive numbers n, n+1, n+2

Q: A number plus itself, plus twice itself, plus 4 times itself, is equal to − 104.What is the number?

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Q: left and right page numbers of an open book are two consecutive integers whose sum is 563. find…

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Q: The sum of the first n positive odd integers is 64. Find n.

A: Given sum of first n positive odd integers is 64. We know difference between odd integers is 2 and…