There are three consecutive odd integers, such that three times the first, minus two times the second, plus 13, equals negative three times the sum of the first and the third. What is the first integer?

unknown values: 2*k-1

equation: 3(2*k-1)-2(2*k+1)+13=-3((2*k-1)+(2*k+3))

answer: -3

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

find four consecutive odd integers such that the sum of the 4 is 3 more than 3 times the fourth integer

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

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

answer: 9; 11; 13; 15

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