Basic Age Problem

Question

Luke is 14 and his father is 28 years older than he is. How old will his father be when Luke is three quarters of his fathers age

Answer 1

L=14

F=28+L = 28+14= 52

(3/4)(F+x)= (L+x)=

(3/4)52+x) = 14+x

39+ 3x/4 = 14 +x

x/4 = 25

x =100

in a hundred years F=152 and L=114

114 = (3/4)152 = 3(38) = 114