SOLUTION: One-fourth of Eric's age last year plus triple his age next year is 84. How old is Eric?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: One-fourth of Eric's age last year plus triple his age next year is 84. How old is Eric?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1092811: One-fourth of Eric's age last year plus triple his age next year is 84. How old is Eric?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = Eric's age now
+x+-+1+ = his age last year
+x+%2B+1+ = his age next year
------------------------------
+%281%2F4%29%2A%28+x+-+1+%29+%2B+3%2A%28+x+%2B+1+%29+=+84+
+%281%2F4%29%2Ax+-+1%2F4+%2B+3x+%2B+3+=+84+
+%28+13%2F4+%29%2Ax+-+1%2F4+=+81+
Multiply both sides by +4+
+13x+-1+=+324+
+13x+=+325+
+x+=+25+
Eric is 25
----------------
check:
+%281%2F4%29%2A%28+x+-+1+%29+%2B+3%2A%28+x+%2B+1+%29+=+84+
+%281%2F4%29%2A%28+25+-+1+%29+%2B+3%2A%28+25+%2B+1+%29+=+84+
+%281%2F4%29%2A24+%2B+3%2A26+=+84+
+6+%2B+78+=+84+
+84+=+84+
OK