Problema Solution

Gabrielle's age is three times Mikhail's age. The sum of their ages is

112

. What is Mikhail's age?

Answer provided by our tutors

let


g = Gabrielle's age


m = Mikhail's age


Gabrielle's age is three times Mikhail's age:


g = 3m


The sum of their ages is 112:


g + m = 112


By solving the system of equations:


g = 3m


g + m = 112


we find:


g = 84 years


m = 28 years


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Mikhail's age is 28 years.