SOLUTION: The sum of Alan's age and Bob's age is 40. The sum of Bob's age and Carl's age is 34. The sum of Alan's age and Carl's age is 42. How old is Bob?

Algebra.Com
Question 868531: The sum of Alan's age and Bob's age is 40. The sum of Bob's age and Carl's age is 34. The sum of Alan's age and Carl's age is 42. How old is Bob?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
3.
Subtract eq. 1 from eq. 2,

4.
Now add eq. 2 and eq. 4,



Then,


and finally,




RELATED QUESTIONS

The sum of Alan’s age and Patrick’s age is 58. Eight years ago, Alan was twice as old as... (answered by Seutip)
the ratio of james's age and bob's age is 10:9. The ratio of sarah's age and bob's age is (answered by ankor@dixie-net.com,greenestamps)
The sum of Leilah’s age and Abdul’s age is 34 years. Five years ago, the sum of... (answered by josgarithmetic)
The sum of Elliot’s age and twice Zane’s age is 44. The difference of twice Elliot’s age... (answered by Aldorozos)
Matthew's dad is 3 years less than 4 times his son's age. The sum of mother's age and his (answered by ikleyn)
Tommy’s age is six less than Abby’s age. Luke’s age is three more than tommy’s... (answered by josgarithmetic)
The sum of the ages of Jon and his brother is 40. Jon’s age is 8 more than his... (answered by josmiceli)
The sum of Emma’s age and her sisters age is 41 years older than her sister. What is... (answered by Edwin McCravy)
The sum of Wilbur’s age and Fred’s age is 20 years. Wilbur’s age 1 year from now will be (answered by jojo14344)
Luke is three times Brandon's age. The sum of four times Brandon's age and two times... (answered by Alan3354)