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.

3 Answers on this Question

1. 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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2. door number might be any integer…it need not to be 14
   only. so there are more possible….
   why you consider 2 6 6 and 3 3 8 only?

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   1. Because 2 daughter should have same age

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