Problema Solution

Greg is 16 years older than his sister Barbara. In 13 years, he will be twice as old as Barbara. How old is each of them now?

Answer provided by our tutors

let


g = Greg's age now


b = Barbara's age now


Greg is 16 years older than his sister Barbara:


g = b + 16


In 13 years, he will be twice as old as Barbara:


g + 13 = 2(b + 13)


by solving the system of equations:


g = b + 16


g + 13 = 2(b + 13)


we find:


g = 19 years


b = 3 years


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Greg is 19 years old now.


Barbara is 3 years old now.