Question

Brad is 5 years older than Matt. George is 6 less than

twice Matt's age. The sum of their ages 99. How old is
each of them?

Show work please

Answer 1

Matt=25y, George =44y, Brad=30y

Explanation:

Brad=B

Matt=M

George=G

Year=y

Then we have:

Matt=y

Brad is 5 years older than Matt⇒B=(M+5)y

George is 6 less than twice Matt's age⇒G=(2M-6)y

The sum=B+G+M=(M+5)+(2M-6)+(M)=90

So we can get age of Matt (M) By:

(M+5)+(2M-6)+(M)=90

4M-1=99

4M=100 dividing by 4

M=25 ⇒ Matt=25y

G=(2M-6)y=(2*25)-6=44 ⇒ George =44y

B=(M+5)y=25+5=30y ⇒ Brad=30y

hope this helps