SOLUTION: Abraham is 8 years older than Belen. The sum 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 Abrah
Algebra.Com
Question 962393: Abraham is 8 years older than Belen. The sum 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 & Celeste?
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's 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)
My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20... (answered by god2012)
my mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20... (answered by TimothyLamb)
15. My mother is 12 years more than twice my age. After 8 years, my mother’s age will be... (answered by josgarithmetic)