currently, hayley is one-fifth as old as her brother nathan. 4 years from now 3 times hayleys age will equal nathan's age. how old is nathan now

10 years old

Explanation:
Assume y is Nathan age and X is Hayley’s age

y • 1/5 = x and

4 + 3x = y
Since x is y • 1/5 = y/5

4 + 3(y/5) = y
4 + 3y/5 = y
20/5 + 3y/5 = 5y/5
20 + 3y = 5y
20 = 2y
10 = y