Problema Solution

Donna is 12 years younger than her brother. In 2 years, she will be 14 years more than half as old as her brother. How old is each now?

Answer provided by our tutors

let


d = the present age of Donna


b = the present age of Donna's brother


Donna is 12 years younger than her brother:


d = b - 12


In 2 years, she will be 14 years more than half as old as her brother:


d + 2 = 14 + (1/2)b


by solving the system of equations:


d = b - 12


d + 2 = 14 + (1/2)b


we find:


d = 36 years


b = 48 years


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Donna is 36 years old now, and her bother is 48 years old now.