SOLUTION: ahmed is 2 years older than gabrielle. in 5 years the sum of their ages will be 68. how old is ahmed now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: ahmed is 2 years older than gabrielle. in 5 years the sum of their ages will be 68. how old is ahmed now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1108004: ahmed is 2 years older than gabrielle. in 5 years the sum of their ages will be 68. how old is ahmed now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Ahmed's age now
Let +b+ = Gabrielle's age now
----------------------------------
(1) +a+=+b+%2B+2+
(2) +a+%2B+5+%2B+b+%2B+5+=+68+
----------------------------------
(1) +a+-+b+=+2+
(2) +a+%2B+b+=+58+
-----------------------
Add (1) and (2)
+2a+=+60+
+a+=+30+
and
(2) +a+%2B+b+=+58+
(2) +30+%2B+b+=+58+
(2) +b+=+28+
-----------------------
Ahmed is 30
Gabrielle is 28
-----------------------
check:
(1) +a+-+b+=+2+
(1) +30+-+28+=+2+
and
(2) +a+%2B+b+=+58+
(2) +30+%2B+28+=+58+
OK