perplexus.info :: Just Math : Three Digit Trial

Three Digit Trial (Posted on 2014-05-07)

Find a 3-digit positive integer N such that the sum of the three digits of N equals the product of the first two digits of N and also equals the product of the last two digits of N.

How many values of N are there? Prove that there are no others.

*** N does not contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

242 and 333 are the only three-digit numbers that satisfy the given conditions.
For an explanation, refer to the solution submitted by Ady TZIDON in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	answer	Ady TZIDON	2014-05-07 09:49:39

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