Problema Solution

The sum of Rob and his son's age is 108. Eighteen years ago, Rob was three times as old as his son. How old are they now?

Answer provided by our tutors

let


r = the age of Rob now

s = the age of Rob's son now


The sum of Rob and his son's age is 108


r + s = 108


Eighteen years ago, Rob was three times as old as his son


r - 8 = 3(s - 8)


by solving the system of equations


r + s = 108

r - 8 = 3(s - 8)


we find


r = 77 years


s = 31 years


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Rob is 77 years old now.

Rob's son is 31 years old now.