The sum of the ages of two sisters is 36. The younger sister is 6 more than a fifth of the older sister’s age. How old is each sister?

Answer 1

x+y = 36

x= 6 + y/5

6+y/5 + y = 36

(6/5)y = 30

y = (5/6)30 = 25 years old

x = 36-25 = 11 years old