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Venkat has 1boy&2daughters.The product of these children
age is 72.The sum of their ages give the door numberof
Venkat.Boy is elder of three.Can you tell the ages of all
the three.

Answer Posted / c.s.veeraragavan

since the product is 72, there are only 12 possibilities.
the product and sum are
1 1 72 = 74 2 2 18 = 22
1 2 36 = 39 2 3 12 = 17
1 3 12 = 16 2 4 9 = 15
1 4 18 = 23 2 6 6 = 14
1 6 12 = 19 3 3 8 = 14
1 8 9 = 18 3 4 6 = 13
since the sum of their ages gives the door number of venkat
and venkat needs some more information, indicates that
there should be two same sums. that is
2 6 6 = 14
3 3 8 = 14
since the boy is the elder of three, he could be eight
years old. so the ages are the daughters are age 3 and boy
is aged 8.

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