# A man during his life had three wives. His first wife.............He died at age 86. How long was his third marriage ?

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A man during his life had three wives.

His first wife passed when he had been
then married half his life.

Six years later he married again.
This marriage only lasted a third the
length of his first.

He remarried within weeks and lived
with her the remainder of his life.
His last marriage lasted 3 years more
than his other marriages combined.

He died at age 86.

How long was his third marriage ?

posted Oct 27, 2016

Let the age at which he first married be A
So when the first marriage ended he was 2A years old
Then when his second marriage ended he was
2A + 6 + (A/3)
And finally at death
2A + 6 + (A/3) + ( A + (A/3) + 3 ) = 86 ( age at death )
Solving for A gets A = 21
And his third marriage lasted for
( A + (A/3) + 3 ) = 21 + ( 21/3 ) + 3 = 31 years
So the third Marriage lasted for 31 years.

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