Match the 6 solutions on the left to their equivalent solutions on the right (3 total). Unless stated otherwise, n is any integer. If a solution on the left isn't equivalent to any of the solutions on the right, put it in the "unmatched" category.

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 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 number is less than 0 but also closest to 0

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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: The sum 1 + 2+ 3+ ... +n is equal to one three-digit number with the same digits. Determine that…

A: Given the sum is three digit number with the same digit , let the number be aaa Hence 1+2+3+...+n =…

Q: Find the three-digit number that increases by 30% when each of its digits are increases by 1.

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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 middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If…

A: Number between 100 and 1000 is three digit number. Consider the first digit be x, middle digit be y…

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

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Q: Find the number N such that fifteen less than twice the number is three fourths of the number.

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Q: A certain number added twice to itself equals 96. What is the number?

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Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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…

A:

Q: Forty men working on a construction job had completed one-third of the job in the past 15 days. The…

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Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $528/person/day if…

A: Given the owner of a luxury yacht charges $528 per person per day if exactly 20 people sign up for…

Q: Determine if (0, -3) is in the solution region:

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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: An instructor has graded 25 exam papers submitted by students in a class of 26 students, and the…

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Q: If the smallest of three consecutive integers is added to twice the largest, the result is 73. What…

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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 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: An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the…

A: Given An instructor has graded 23 exam papers submitted by students in a class of 24 students, and…

Q: When the positive integer n is divided by 6, the remainder is 2. What is the remainder when 24n is…

A: Given  When the positive integer n is divided by 6, remainder is 2

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

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Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To find the numbers when we have the given condition :-

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: The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the…

A: Let the lesser integer be x and greater integer be y. It is given that the sum of three times a…

Q: Find a positive number for which the sum of its reciprocal and four times its square is the smallest…

A: 1. Let x be the positive number then according to question - S=1x+4x2 and we need to minimize this…

Q: The sum 1 + 2+3+ ...+n is equal to one three-digit number with the same digits. Determine that…

A: The sum of first n natural numbers can be represented by the formula:  1+2+3+……+n=n(n+1)2  . The…

Q: If eight is added to four times a number, the result is twenty-three more than the number. Round…

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Q: The greater of two consecutive integers is five more than twice the lesser integer. What are the two…

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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: The sum 1 + 2+ 3+...+ n is equal to one three-digit number with the same digits. Determine that…

A: We know that, 2+3+4+.....+n=nn+12 We have to find one three digit number with the same digits as the…

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 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: 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 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: of the three integers, n +2 and n + 4 represent the other two numbers.

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Q: 1) The sum of four consecutive integers is 462. Find the integers.

A: GIVEN: The sum of 4 consecutive integers is 462

Q: What 3-digit number am I if the digit in my tens place is five more than the digit in my ones place…

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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: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

Q: The sum 1 + 2+ 3+ . +n is equal to one three-digit number with the same digits. Determine that…

A: solve the equation n(n+1)​2=xxx  n(n+1)​=xxx=x×111111 Can be write in the form of product of two…

Q: 2. The sum of three consecutive odd integers is 159. What is the product of the smallest integer and…

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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…