SOLUTION: Andrew is 3times as old as michael. Who is 2years older than James. If the sum of their age is 33years. How old is Andrew

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Andrew is 3times as old as michael. Who is 2years older than James. If the sum of their age is 33years. How old is Andrew      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 953808: Andrew is 3times as old as michael. Who is 2years older than James. If the sum of their age is 33years. How old is Andrew
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Andrew is 3times as old as michael. Who is 2years older than James. If the sum of their age is 33years. How old is Andrew.
------
Equations:
a = 3m
m = j + 2
a + m + j = 33
-----
Write m and j in terms of "a"::
a + a/3 + (a/3)-2 = 33
-----
(5/3)a = 35
a = 21 yrs (Amdrew's age now)
---------
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +a+=+3m+
(2) +m+=+j+%2B+2+
(3) +a+%2B+m+%2B+j+=+33+
----------------------
(2) +j+=+m+-+2+
By substitution:
(3) +3m+%2B+m+%2B+m+-+2+=+33+
(3) +5m+=+33+%2B+2+
(3) +5m+=+35+
(3) +m+=+7+
----------------
(1) +a+=+3m+
(1) +a+=+3%2A7+
(1) +a+=+21+
Andrew is 21
-------------
check:
(2) +j+=+m+-+2+
(2) +j+=+7+-+2+
(2) +j+=+5+
----------------
(3) +a+%2B+m+%2B+j+=+33+
(3) +21+%2B+7+%2B+5+=+33+
(3) +33+=+33+
OK