SOLUTION: Richard is five years older than Sheila. Four times Sheila’s age increased by 3 years equals three time Richard’s age diminished by 2 years. Find Richard’s age.

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Question 1098135: Richard is five years older than Sheila. Four times Sheila’s age increased by 3 years equals three time Richard’s age
diminished by 2 years. Find Richard’s age.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +r+=+s+%2B+5+
(2) +4s+%2B+3+=+3r+-+2+
----------------------
(2) +3r+-+4s+=+5+
and
(1) +r+-+s+=+5+
-----------------------
Multiply both sides of (1) by +-4+
(1) +-4r+%2B+4s+=+-20+
Add (1) and (2)
(1) +-4r+%2B+4s+=+-20+
(2) +3r+-+4s+=+5+
--------------------------
+-r+=+-15+
+r+=+15+
Richard is 15
----------------
check:
(1) +r+-+s+=+5+
(1) +15+-+s+=+5+
(1) +s+=+10+
and
(2) +4s+%2B+3+=+3r+-+2+
(2) +4%2A10+%2B+3+=+3%2A15+-+2+
(2) +43+=+45+-+2+
(2) +43+=+43+
OK