Question

the sum of two consecutive integers is at most the difference between nine times the smaller and five times the larger

Answer 1

two consecutive integers: x,x+1

x+(x+1) = 9(x) - 5(x+1)

2x+1 = 9x-5x-5

2x+1 = 4x-5

subtract 2x from each side

1 = 2x-5

add 5 to each side

6 = 2x

divide by 2

x=3

the integers are 3 and 4