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How Old Is Mary?
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Answer :

The age of Mary to that of Ann must be as 5 to 3. And as the sum of their ages was 44, Mary was 27½ and Ann 16½.
One is exactly 11 years older than the other.
I will now insert in brackets in the original statement the various ages specified: "Mary is (27½) twice as old as Ann was (13¾) when Mary was half as old (24¾) as Ann will be (49½) when Ann is three times as old (49½) as Mary was (16½) when Mary was (16½) three times as old as Ann (5½)."

Now, check this backwards. When Mary was three times as old as Ann, Mary was 16½ and Ann 5½ (11 years younger).
Then we get 49½ for the age Ann will be when she is three times as old as Mary was then.
When Mary was half this she was 24¾.
And at that time Ann must have been 13¾ (11 years younger).
Therefore Mary is now twice as old—27½, and Ann 11 years younger—16½.




Math Genius