SOLUTION: Abraham is 8 years older than Belen.The sum's of Belen's age and Celeste's age is three years more than twice Abraham's age. If the sum of their three ages is 138, how old are Abra
Algebra.Com
Question 962381: Abraham is 8 years older than Belen.The sum's of Belen's age and Celeste's age is three years more than twice Abraham's age. If the sum of their three ages is 138, how old are Abraham, Belen, and Celeste?
Thank you in advance!
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
Abraham is 8 years older than Belen. The sum of Belen's age and Celeste's age is three... (answered by macston)
Paul's age is three years older than Ruth's age. If Emma's age is twice that of Paul's... (answered by ankor@dixie-net.com,greenestamps,josgarithmetic,MathTherapy)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic,ikleyn)
The sum of Emma’s age and her sisters age is 41 years older than her sister. What is... (answered by Edwin McCravy)
Matt is 4 years older than Todd. In 3 years. Twice matt’s Age will be 8 more than twice (answered by ikleyn)
The sum of Amy's age and Debbie's age is 65. If Amy is five years older than Debbie,... (answered by josgarithmetic)
Tim is 6 years older than Scott. Mike's age is 3 times Tim's age. The sum of Tim and... (answered by josgarithmetic,ikleyn)
Chloe is 5 years older than Mia and Emma is triple Chloe’s age. Double the sum
of... (answered by josgarithmetic)