Question

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller find the larger odd integer

Answer 1

Two consecutive integers would be x, x+1. To be sure both of them are odd, we can make 2x+1 and 2x+3. That assures me they're both odd.

So:

5*(2x+3) =1+ 8*(2x+1)

10x+15= 16x+9

10x-16x = 9-15

-6x= -6

x = 1

The larger odd integer is: 2*1+3 = 5

Answer: 5