Problema Solution

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.

Answer provided by our tutors

let


x = the age of Ralph now

y = the age of Sara now


Ralph is 3 times as old as Sara


x = 3y


in 6 years, Ralph will be only twice as old as Sara will be then


x + 6 = 2(y + 6)


by solving the system of equations


x = 3y

x + 6 = 2(y + 6)


we find that


x = 18


y = 6


Ralph is 18 years old now.