Problema Solution

Jamal's mother is 3 times older than Jamal. But in 12 years, her age will be exactly 2 times greater than Jamal's. How old are Jamal and his mother today?

Answer provided by our tutors

let


j = the age of Jamal today

m = the age of Jamal's mother today


Jamal's mother is 3 times older than Jamal


m = 3j


But in 12 years, her age will be exactly 2 times greater than Jamal's


m + 12 = 2(j + 12)


by solving the system of equations


m = 3j

m + 12 = 2(j + 12)


we find


j = 12 years


m = 36 years


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Today Jamal is 12 years old.


Today Jamal's mother is 36 years old.