Let's denote Genesis' age as x (an integer), which makes Isaac's age x - 1 (as their ages are consecutive integers).
Now, we're given that the sum of Isaac's age and 4 times Genesis' age is 59:
x-1+4x=59
Solving for x, we get:
x-1+4=59
5x-1 =59
5x=60
x=12
Genesis' age (x) is 12, and Isaac's age (x-1) is 11