SOLUTION: When Tom was born his dad was 27 8 years ago toms dad was twice the age tom will be in 5years time how old is tom now? please help I have no idea

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Question 1045997: When Tom was born his dad was 27 8 years ago toms dad was twice the age tom will be in 5years time how old is tom now? please help I have no idea
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Tom's age now
Let +b+ = Dad's age now
----------------------------
The difference in their ages will always
be +b+-+a+
So, +b+-+a+ is his dad's age when
Tom was born
-----------------------------------
You are given that
(1) +b+-+a+=+27+
-------------------
(2) +b+-+8+=+2%2A%28+a+%2B+5+%29+
--------------------------
(1) +-a+%2B+b+=+27+
and
(2) +b+-+8+=+2a+%2B+10+
(2) +-2a+%2B+b+=+18+
-----------------------
Subtract (2) from (1)
(1) +-a+%2B+b+=+27+
(2) +2a+-+b+=+-18+
---------------------
+a+=+9+
and
(1) +b+-+9+=+27+
(1) +b+=+36+
-------------------
Tom is 9 now
----------------
check:
(1) +b+-+a+=+27+
(1) +36+-+9+=+27+
(1) +27+=+27+
and
(2) +b+-+8+=+2%2A%28+a+%2B+5+%29+
(2) +36+-+8+=+2%2A%28+9+%2B+5+%29+
(2) +28+=+2%2A14+
(2) +28+=+28+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

When Tom was born his dad was 27 8 years ago toms dad was twice the age tom will be in 5years time how old is tom now? please help I have no idea
Let Tom’s age be T
Then dad’s age = T + 27
We then get: T + 27 – 8 = 2(T + 5)
T + 19 = 2T + 10
T – 2T = 10 – 19
- T = - 9
T, or Tom’s age is: %28-+9%29%2F%28-+1%29, or highlight_green%289%29