How old is Michael?

Question

 

Michael and Joel's ages are in a 5:4 ratio. 5 years ago, they were in a 7:5 ratio. How old is Michael nowadays?

Answer 1

5/4 ratio

(5x-5)/(4x-5)=7/5

5(5x-5)=7(4x-5)

25x-25=28x-35

35-25=28x-25x

10=3x

x=10/3

x=3 1/3

5*(3 1/3)=16 2/3 years old or 16 years 8 months old is Michael's age