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.