Problema Solution

Mio is 22 years older than Yui. Seven years ago the sum of their ages was 32. How old are they now?

Answer provided by our tutors

let


m = the age of Mio now

y = the age of Yui now


Mio is 22 years older than Yui


m = 22 + y


Seven years ago the sum of their ages was 32


m - 7 + y - 7 = 32


m + y = 46


by solving the system of equations


m = 22 + y

m + y = 46


we find


m = 34 years


y = 12 years


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Mio is 34 years old now.

Yui is 12 years old now.