Problema Solution

Freddie is five times as old as Elena, but in four years, he will be 8 years more than thrice as old as her. Find the age of each now.

Answer provided by our tutors

let


f = the age of Freddie now

e = the age of Elena now


Freddie is five times as old as Elena


f = 5e


in four years, he will be 8 years more than thrice as old as her


f + 4 = 8 + 3(e + 4)


by solving the system of equations


f = 5e

f + 4 = 8 + 3(e + 4)


we find


f = 40 years


e = 5 years


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