perplexus.info :: Just Math : Year Yearn 3

Year Yearn 3 (Posted on 2016-04-05)

It is observed that 2016 = 16*126. In other words 2016 can be written as: AC*ABC where each of A, B and C is a distinct base ten digit with A being a nonzero digit.

Determine the next three positive integers having this property. What are the preceding three positive integers with this property?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The next three positive integers with this property are:
2025= 15*135 2064 = 12*172 2071 = 19*109
The preceding four positive integers with this property are:
1989 = 13*153 1944= 12*162 1944 = 18*108 1900= 10*190
For an explanation, refer to the solution submitted by Charlie in this location.

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

	Subject	Author	Date
	computer solution	Charlie	2016-04-05 10:22:40

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