SOLUTION: Tom is 4 times as old as Todd. In 6 years Tom’s age will be 10 years more than 2 times as old as Todd. How old is Tom? A. 30 B. 29 C. 33 D. 32

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Question 1001862: Tom is 4 times as old as Todd. In 6 years Tom’s age will be 10 years more than 2 times as old as Todd. How old is Tom?
A. 30
B. 29
C. 33
D. 32
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
m for ToM, d for TodD
Half of the work is to write the system of equations.
system%28m%2Fd=4%2Cm%2B6=10%2B2%28d%2B6%29%29

Simplify the system.
system%28m=4d%2Cm%2B6=2d%2B12%2B10%29
system%28m=4d%2Cm%2B6=2d%2B22%29
highlight_green%28system%28m=4d%2Cm=2d%2B16%29%29

Two formulas for m in terms of d.
Easy; equate the expressions, solve for d.

highlight%28system%28d=8%2Cm=4%29%29

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

Tom is 4 times as old as Todd. In 6 years Tom’s age will be 10 years more than 2 times as old as Todd. How old is Tom?
A. 30
B. 29
C. 33
D. 32
Tom's highlight_green%2832%29 (CHOICE D)