Problema Solution

Andri is three times as old as Catherine. In 8 years time, the ratio of their ages will be 2:1. How old is Catherine now?

Answer provided by our tutors

let


a = the age of Andri now

c = the age of Catherine now


Andri is 3 times as old as Catherine


a = 3c


in 8 years time, the ratio of their ages will be 2:1


(a + 8) : (c + 8) = 2:1


a + 8 = 2(c + 8)


by solving the system of equations


a = 3c

a + 8 = 2(c + 8)


we find


a = 24 years


c = 8 years


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Catherine is 8 years old now.