perplexus.info :: Just Math : Three Digit Number

Three Digit Number (Posted on 2003-05-15)

Find a three-digit number containing three different digits where the following are all perfect squares:

(A) The sum of the first digit and the number formed by the second and third digits;

(B) The first digit multiplied by the number formed by the second and third digits and

Submitted by Ravi Raja

Rating: 3.8000 (5 votes)

Solution: (Hide)

916 is the required number (assuming that all the digits of the number are positive, that is non-zero).
9 + 1 + 6 = 16 = (4)^2
9 + 16 = 25 = (5)^2
9 * (16) = 144 = (12)^2

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

Subject	Author	Date
answer	K Sengupta	2007-11-23 23:42:31
No Subject	Jack Squat	2004-01-20 11:23:15
re(2): solution (More mistakes!)	Gamer	2003-05-19 13:36:12
re: The solution	Gamer	2003-05-19 12:16:42
The solution	Alpha Tiger	2003-05-19 01:07:38
re: Hmm	Charlie	2003-05-17 09:18:21
Hmm	DJ	2003-05-16 22:22:03
re(4): solution (More confusing!)	Gamer	2003-05-16 14:56:38
re(3): solution (More confusing!)	Gamer	2003-05-16 14:54:46
re(2): another solution	luvya2003	2003-05-16 11:03:53
re(2): solution (More confusing!)	Charlie	2003-05-16 08:03:20
re(3): solution (More confusing!) Part 2	Ravi Raja	2003-05-16 05:38:26
re: solution	Ravi Raja	2003-05-16 05:36:00
re(2): another solution	Ravi Raja	2003-05-16 05:33:33
re: another solution	Ravi Raja	2003-05-16 05:32:43
re(2): Do more	Ravi Raja	2003-05-16 05:29:31
re: Do more	Ravi Raja	2003-05-16 05:29:11
Solution	DuCk	2003-05-16 01:53:33
re: Do more	shaun	2003-05-15 20:06:56
re: another solution	shaun	2003-05-15 20:04:33
Solution	Mayer Kim	2003-05-15 13:21:35
re(2): solution (More confusing!) Part 2	Gamer	2003-05-15 13:01:28
re: solution (More confusing!)	Gamer	2003-05-15 12:44:25
another solution	luvya2003	2003-05-15 11:49:19
solution	Charlie	2003-05-15 11:25:51
Do more	Gamer	2003-05-15 10:18:28
Solution	Chris	2003-05-15 07:11:00
No Subject	shaun	2003-05-15 03:39:04

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