Problema Solution

Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93.

Find both of their ages now.

Answer provided by our tutors

let


c = the current age of Cary

d = the current age of Dan


Cary is 9 years older than Dan:


c = d + 9


In 7 years, the sum of their ages will equal 93:


c + 7 + d + 7 = 93


by solving the system of equations


c = d + 9

c + 7 + d + 7 = 93


we find


c = 44 years


d = 35 years


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Cary is 44 years old now.

Dan is 35 years old now.