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

Find three consecutive even integers, such that 7 times the middle integer is 10 more than the sum of first and third.

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

equation: 7*(2*k)=2*k+(2*k+2)+10

answer: 0; 2; 4

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

The difference of the squares of two positive consecutive even integers is 44. Find the integers.

unknown values: x, x+2

equation: (x+2)^2-x^2=44

answer: 10; 12

Find three consecutive positive odd integers such that the product of the first and the third is 4 less than 7 Times the second

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

equation: (2*k+1)(2*k+5) = 7(2*k+3) - 4

answer: 5; 7; 9

find the smallest of three consecutive positive integers such that the product of two smaller integers is 68 more than twice the largest integer

unknown values: x

equation: x*(x+1)-68=2*(x+2)

answer: 9