SOLUTION: a man is 24 years older thab his son,after 10 years he will be 3 times as old as his son how old is the son?

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Question 1093259: a man is 24 years older thab his son,after 10 years he will be 3 times as old as his son how old is the son?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the son's present age.

Then the father's age now is (x + 24) years now.


In 10 years:  (x+24) + 10 = 3*(x+10).


x + 34 = 3x + 30  ====>  2x = 4  ====>  x = 2.


The son is 2 years old now.

The father is 26 years old now.


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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = man's age now
Let +b+ = son's age now
+a+%2B+10+ = man's age in 10 yrs
+b+%2B+10+ = son's age in 10 yrs
-------------------------------
(1) +a+=+b+%2B+24+
(2) +a+%2B+10+=+3%2A%28+b+%2B+10+%29+
-------------------------------
(1) +a+-+b+=+24+
-------------------------------
(2) +a+%2B+10+=+3b+%2B+30+
(2) +a+-+3b+=+20+
-------------------------------
Subtract (2) from (1)
(1) +a+-+b+=+24+
(2) +-a+%2B+3b+=+-20+
------------------------
+2b+=+4+
+b+=+2+
The son is 2 yrs old
-----------------------
check:
(1) +a+-+b+=+24+
(1) +a+-+2+=+24+
(1) +a+=+26+
and
(2) +a+-+3b+=+20+
(2) +a+-+3%2A2+=+20+
(2) +a+=+26+
OK