Question 962393
.
.
A=Abraham; B=Belen; C=Celeste
A=B-8yrs
B+C=2A+3yrs Substitute for A
B+C=2(B-8yrs)+3yrs
B+C=2B-16yrs+3yrs Subtract B from each side.
C=B-13yrs
A+B+C=138 yrs Substitute for A and C
(B-8yrs)+B+(B-13 yrs)=138yrs
3B-21yrs=138yrs Add 21 yrs to each side.
3B=159 yrs Divide each side by 3.
B=53 yrs ANSWER 1: Belen is 53 years old.
A=B-8yrs=53yrs-8yrs=45 yrs ANSWER 2: Abraham is 45 years old.
C=B-13yrs=53yrs-13yrs=40 yrs ANSWER 3: Celeste is 40 years old.
CHECK:
A+B+C=138 years
45yrs+53yrs+40yrs=138yrs
138yrs=138yrs