The sum of three integers is 61. The sum of the first and second exceeds the third by 71. The third integer is 36 less than the first. Find the three integers.

unknown values: x,y,z

equation: x+y+z=61

equation: x+y=z+71

equation: z=x-36

answer: 31; 35; -5

One number is twice another number. When the larger is diminished by 10, the result is 2 greater than the smaller. Find the numbers.

unknown values: x, y

equation: x = 2*y

equation: x - 10 = y + 2

answer: 24; 12

The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. What is the smaller number?

unknown values: x

equation: x+y=10

equation: 3*y=8*x-3

answer: 3

what is twice the first of three consecutive even integers is ten more than the third. find the integers.

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

equation: 2*(2*k-2)=(2*k+2)+10

answer: 14; 16; 18

Twice the smallest of three consecutive even integers is four more than the largest. Find the integers.

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

equation: 2*(2*k-2)=(2*k+2)+4

answer: 8; 10; 12

The greater of two consecutive odd integers is eight more than three times the smaller. Find the two odd integers.

unknown values: 2*n-1,2*n+1

equation: 2*n+1 = 8 + 3(2*n-1)

answer: -3; -1

find three consecutive even integers such that the sum of the first and third equals the sum of the second and -14

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

equation: (2*k-2)+(2*k+2)=2*k-14

answer: -16; -14; -12

The sum of two numbers is 56. Their difference is 22. Find the larger number.

unknown values: x

equation: x + y = 56

equation: x - y = 22

answer: 39

find the larger of two consecutive integers if the second is 13 less than twice the smaller

unknown values: x+1

equation: (x+1)+13=2*x

answer: 15

the sum of four consecutive odd numbers is 128. Then the smallest number is?

unknown values: 2*k-3

equation: 2*k-3+2*k-1+2*k+1+2*k+3=128

answer: 29