Five times the first of two consecutive odd integers is three times the second. Find the integers?

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

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

answer: 3; 5

Seven times the first of two consecutive odd integers is equal to five times the second. Find each integer.

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

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

answer: 5; 7

the sum of two consecutive even integers is -298. what are the integers?

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

equation: 2*k+(2*k+2)=-298

answer: -150; -148

the sum of two consecutive even integers is -78. find the two integers.

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

equation: 2*k+(2*k+2)=-78

answer: -40; -38

The larger of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger integer.

unknown values: m

equation: m = 1 + 3*n

equation: m + n = 37

answer: 28

The sum of two numbers is 70. The larger number is 4 more than twice the smaller number. What is the smaller number?

unknown values: y

equation: x+y=70

equation: x=4+2*y

answer: 22

one integer is 3 more than twice another integer. If sum of the two integers is 36, what is the smaller integer?

unknown values: x

equation: y=2*x+3

equation: x+y=36

answer: 11

the sum of two integers is fifty seven. Twice the smaller integer is six less than the larger integer. Find the smaller integer

unknown values: x

equation: x+y=57

equation: y = 2*x+6

answer: 17

Find two consecutive positive integers such that the square of the first decreased by 25 equals three times the second.

unknown values: x,x+1

equation: x^2-25=3(x+1)

equation: x>0

answer: 7; 8

Find two consecutive even integers such that 3 times the smaller is 12 more than 2 times the larger.

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

equation: 3*(2*k)=2*(2*k+2)+12

answer: 16; 18