Problema Solution

The present age of Abu’s mother is three times the present age of him. After 5 years their ages will add to 66years. Find their present ages.

Answer provided by our tutors

let


m = the present age of Abu's mother

a = the present age of Abu


The present age of Abu’s mother is three times the present age of him:


m = 3a


After 5 years their ages will add to 66 years:


m + 5 + a + 5 = 66


m + a + 10 = 66 subtract 10 from both sides


m + a = 56


by solving the system of equations


m = 3a

m + a = 56


we find


m = 42 years


a = 14 years


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Abu's mother present age is 42 years.


Abus present age is 14 years.