SOLUTION: Mrs. Smith is 8 years more than triple the age of her son. The difference between their ages is 20. How old is Mrs. Smith ?

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Question 1156293: Mrs. Smith is 8 years more than triple the age of her son. The difference between their ages is 20. How old is Mrs. Smith ?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Mrs. Smith is 8 years more than triple the age of her son. The difference between their ages is 20. How old is Mrs. Smith ?
===============
M = 3S + 8
M - S = 20
--------
etc

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Mrs. Smith's age
Let +b+ = her son's age
---------------------------------------
(1) +a+=+3b+%2B+8+
(2) +a+-+b+=+20+
--------------------------
Plug (1) into (2)
(2) +3b+%2B+8+-+b+=+20+
(2) +2b+=+12+
(2) +b+=+6+
and
(2) +a+-+b+=+20+
(2) +a+-+6+=+20+
(2) +a+=+26+
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26 = Mrs. Smith's age
6 = her son's age
-----------------------
check:
(1) +a+=+3b+%2B+8+
(1) +26+=+3%2A6+%2B+8+
(1) +26+=+26+
OK