SOLUTION: I need help figuring this problem out please. The sum of the ages of Adam and Benjamin is 27,the sum of the ages of Adam and Catherine is 23,the sum of the ages of Benjamin and

Algebra.Com
Question 946210: I need help figuring this problem out please.
The sum of the ages of Adam and Benjamin is 27,the sum of the ages of Adam and Catherine is 23,the sum of the ages of Benjamin and Catherine is 18.How old is Adam?
Thank you

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
3.
From eq. 3,

Substitute into eq. 2,

3.
Now add eq. 1 and 3,



Then,


and finally,



RELATED QUESTIONS

please help me with this Adam is 3 times as old as cynthia and Fred is 16 years younger (answered by Anglophile)
Adam is twice as old as his brother. The sum of their ages is 27. How old is each... (answered by checkley79)
Adam is twice as old as his brother. the sum of their ages is 27. how old is... (answered by josgarithmetic)
Jeff is 3 years older than four times the age of Adam. If the sum of their ages is 63,... (answered by ikleyn)
Adam is 12 years older than his sister Emily. The sum of their ages is three times... (answered by josgarithmetic)
The ages of Mark and Adam add up to 28 years total. Mark is 20 years older than Adam. How (answered by crazy_mathfreak,lwsshak3)
The ages of Graham and Adam total 36 years. Graham's age plus twice Adam's age is 59.... (answered by josgarithmetic)
The ratio of johm’s ages to his sons age is 8:3 . if the sum of their ages is 55 years ,... (answered by ankor@dixie-net.com)
Adam is twice as old as Barry, Charlie is three years younger than Barry. The sum of... (answered by addingup)