A husband and wife have a combined age of 91. The husband is
now twice as old as his wife was when he was as old as she is
now. How old is wife?

Answer Posted / prexa

LET h and w be present age of husband and wife respectively.
so h+w=91--------------(1)
Now, y years back husbands age was as same as that of wife's now.
so h-y=w---------------(2)
and y years back wife's age was w-y.
Hence present age of husband is twice that of wifes age y years back
so h=2(w-y)----------------(3)
solving equation (1),(2),(3)
we get h=52 and w=39

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