Problema Solution

Michael is 17 years older than John. in four years the sum of their ages will be 49. How old will Micheal be in four years?

Answer provided by our tutors

let


m = the age of Michael now


j = the age of John now


Michael is 17 years older than John:


m = j - 17


in four years the sum of their ages will be 49:


m + 4 +j + 4 = 49


by solving the system of equations:


m = j - 17


m + 4 +j + 4 = 49


we find:


m = 12 years


j = 29 years


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12 + 4 = 16


In 4 years Michael will be 16 years old.