Problema Solution

Daniel is 3 years younger than Stephanie. Stephanie and Daniel first met 3 years ago. Thirteen years ago, Stephanie was 4 times as old as Daniel.

How old is Stephanie now?

Answer provided by our tutors

let


d = the age of Daniel now

s = the age of Stephanie now


Daniel is 3 years younger than Stephanie


d = s - 3


Thirteen years ago, Stephanie was 4 times as old as Daniel


s - 13 = 4(d - 13)


by solving the system of equations


d = s - 3

s - 13 = 4(d - 13)


we find


d = 14 years


s = 17 years


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Stephanie is 17 years old now.