SOLUTION: A parent is 32 years older than the child. 10 years ago the parent was 3 times as old as tge child.what is the present age of each

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Question 1051997: A parent is 32 years older than the child. 10 years ago the parent was 3 times as old as tge child.what is the present age of each
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = parent's age now
Let +b+ = child's age now
-----------------------------
(2) +-a+%2B+3b+=+20+
(2) +a+-+10+=+3%2A%28+b+-+10+%29+
--------------------------
(2) +a+-+10+=+3b+-+30+
(2) +-a+%2B+3b+=+20+
and
(1) +a+-+b+=+32+
--------------------------
Add (1) and (2)
(1) +a+-+b+=+32+
(2) +-a+%2B+3b+=+20+
----------------------
+2b+=+52+
+b+=+26+
and
(2) +-a+%2B+3b+=+20+
(2) +-a+%2B+3%2A26+=+20+
(2) +a+=+78+-+20+
(2) +a+=+58+
-----------------------
The father is 58
The child is 26

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Everything is OK except this word "child" which is not applicable to the person of that age.