SOLUTION: Tom is 10 years old and his mother is 30 years old. In how many years will Tom's age be half that of his mother?

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Question 698134: Tom is 10 years old and his mother is 30 years old. In how many years will Tom's age be half that of his mother?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
%2810%2BX%29%2F%2830%2BX%29+=+1%2F2
Multiply both sides by 2
2%2A%2810%2BX%29%2F%2830%2BX%29+=+1
Multiply both sides by (30+X)
2%2A%2810%2BX%29+=+30+%2B+X
Simplify
20+%2B+2X+=+30+%2B+X
Subtract 20 from both sides
2X+=+10+%2B+X
Subtract X from both sides
highlight%28X+=+10%29
In 10 years Tom will be half of his mothers age.