Olivia B. answered • 07/20/14

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M: age of man today

W: age of wife today.

We set up these 2 equations from the problem:

M - 10 = W [ten years ago the man was as old as the wife is today]

2*(W - 10) = M [the man is twice as old as the wife was ten years ago]

Plugging the equation for W into the second equation and solving yields:

2*[(M - 10) - 10] = M

2*[M - 20] = M

2*M - 40 = M

**M = 40**.

Since W = M - 10, then

**W=30.**