find three consecutive even numbers whose sum is 234

unknown values: 2*k, 2*k+2, 2*k+4

equation: 2*k+2*k+2+2*k+4=234

answer: 76; 78; 80

Find three consecutive odd integers such that four times the smallest integer added to four times the largest integer equals 88

unknown values: 2*k+1, 2*k+3, 2*k+5

equation: 4*(2*k+1)+4*(2*k+5)=88

answer: 9; 11; 13

Find five consecutive numbers that the sum of the first and the last is 84.

unknown values: x-2, x-1, x, x+1, x+2

equation: x-2+x+2=84

answer: 40; 41; 42; 43; 44

There are five consecutive odd integers. The sum of the first two numbers is thirty-five less than the sum of the last three numbers. What are the integers?

unknown values: 2*k-3, 2*k-1,2*k+1, 2*k+3, 2*k+5

equation: 2*k-3+2*k-1=2*k+1+2*k+3+2*k+5-35

answer: 19; 21; 23; 25; 27

the larger of two integers is 3 more than the smaller. If twice the square of the smaller integer is increased by 3 times the larger integer, the result is 23. Find the larger integer.

unknown values: x,y

equation: y = x+3

equation: 2*x^2 + 3*y = 23

answer: 5

The sum of the first and third of three consecutive even integers is 176. What are the three even integers?

unknown values: 2*x-2, 2*x, 2*x+2

equation: 2*x-2 + 2*x+2= 176

answer: 86; 88; 90

What are the three consecutive even integers so that the value three times the second integer is equal to six more than the sum of the first and third integers?

unknown values: 2*k, 2*k+2, 2*k+4

equation: 3(2*k + 2) = (2*k + 2*k + 4) + 6

answer: 4; 6; 8

find 5 consecutive integers whose sum of the first, third, and fifth is 99

unknown values: n, n + 1, n + 2, n + 3, n + 4

equation: n + (n + 2) + (n + 4) = 99

answer: 31; 32; 33; 34; 35

Find three consecutive odd numbers such that eight times the first plus the third is seven times the second

unknown values: 2*k, 2*k+2, 2*k+4

equation: 8(2*k)+2*k+4=7(2*k+2)

answer: 5; 7; 9

Find two consecutive integers such that the sum of the three fifths of the first and one-fourth of the second is 13.

unknown values: x, x+1

equation: 3*x/5 + (x+1)/4 = 13

answer: 15; 16