SOLUTION: Jessy is four less than three times as old as his sister Carmen. The sum of their ages is 52 how old is jessy?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jessy is four less than three times as old as his sister Carmen. The sum of their ages is 52 how old is jessy?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1154044: Jessy is four less than three times as old as his sister Carmen. The sum of their ages is 52 how old is jessy?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Jessy's age
Let +b+ = Carmen's age
-----------------------------
(1) +a+%2B+b+=+52+
(2) +a+=+3b+-+4+
-----------------------------
(2) +-a+%2B+3b+=+4+
(1) +a+%2B+b+=+52+
-----------------------
Add (1) and (2)
+4b+=+56+
+b+=+14+
and
(1) +a+%2B+b+=+52+
(1) +a+%2B+14+=+52+
(1) +a+=+38+
Jessy is 38
--------------------------
check:
(1) +a+%2B+b+=+52+
(1) +38+%2B+b+=+52+
(1) +b+=+14+
OK
(2) +a+=+3b+-+4+
(2) +38+=+3%2A14+-+4+
(2) +38+=+42+-+4+
(2) +38+=+38+
OK



Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
c, Carmen's age
-4+3c, Jessy's age

Question really asks for 3c-4.

c%2B%283c-4%29=52
4c-4=52
c-1=13
c=14--------Carmen's age

3%2A14-4
42-4
highlight%2838%29------Jessy's age.