Question

Melissa giggled as she thought about four consecutive odd integers such that 5 times the sum of the first two was 10 less than 7 times the sum of the second and fourth. What were her four integers?

Answer 1

x, x+2, x+4, x+6

5(x+x+2) = -10 + 7(x+2+x+6)
10x+10 = -10 + 14x+56
-36 = 4x
-9=x

-9,-7,-5,-3 are the four numbers!