Problema Solution

Daniel is 8 years older than Umaima. Daniel and Umaima first met four years ago. Five years ago, Daniel was 5 times as old as Umaima. How old is Umaima now?

Answer provided by our tutors

Let


d = Daniel's age now


u = Umaima's age now


Daniel is 8 years older than Umaima:


d = u + 8


Five years ago, Daniel was 5 times as old as Umaima:


d - 5 = 5(u - 5)


We have the following system of equations:


d = u + 8


d - 5 = 5(u - 5)

........

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........

d = 15 years


u = 7 years


Umaima is 7 years old now.