SOLUTION: sum of the ages of art, ben, and cal is 59. art is 1 yr. older than cal and cal is 1 yr. younger than ben, who, if anyone, was a teenager 7 yrs. ago?

Algebra ->  Rational-functions -> SOLUTION: sum of the ages of art, ben, and cal is 59. art is 1 yr. older than cal and cal is 1 yr. younger than ben, who, if anyone, was a teenager 7 yrs. ago?      Log On


   



Question 716050: sum of the ages of art, ben, and cal is 59. art is 1 yr. older than cal and cal is 1 yr. younger than ben, who, if anyone, was a teenager 7 yrs. ago?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +a+%2B+b+%2B+c+=+59+
(2) +a+=+c+%2B+1+
(3) +c+=+b+-+1+
---------------------
(3) +b+=+c+%2B+1+
Substitute (2) and (3) into (1)
(1) +c+%2B+1+%2B+c+%2B+1+%2B+c+=+59+
(1) +3c+%2B+2+=+59+
(1) +3c+=+57+
(1) +c+=+19+
and
(2) +a+=+c+%2B+1+
(2) +a+=+19+%2B+1+
(2) +a+=+20+
and
(3) +b+=+c+%2B+1+
(3) +b+=+19+%2B+1+
(3) +b+=+20+
-------------------
check:
(1) +20+%2B+20+%2B+19+=+59+
------------
+a+-+7+=+20+-+7+
+a+-+7+=+13+
and
+b+-+7+=+13+
and
+c+-+7+=+19+-+7+
+c+=+12+
7 yrs ago, Art and Ben were teenagers