Problema Solution

The sum of ages of Amy and Susie is 40 years old. Five years from now, one will be four times as old as the other. Find their present ages.

Answer provided by our tutors

let


x = the present age of Amy

y = the present age of Susie


the sum of ages of Amy and Susie is 40 years old


x + y = 40


5 years from now, one will be 4 times as old as the other


x + 5 = 4(y + 5)


by solving the system of equations


x + y = 40

x + 5 = 4(y + 5)


we find


x = 35 years


y = 5 years


The present ages of Amy and Susie are 35 and 5.