perplexus.info :: Just Math : Four Digit and Two Digit Treat

Four Digit and Two Digit Treat (Posted on 2015-12-13)

The respective two digit numbers 20 and 16 are formed by considering the first two digits and the last two digits of 2016 in order. Also, 2016/(20+16)= 56, so that, 2016 is evenly divisible by the sum of the two 2-digit numbers considering its first two digits and the last two digits.

(i) Determine five numbers following 2016 that possess this property.

(ii) Determine five numbers preceding 2016 that possess this property.

*** No leading zero is permissible for any of the numbers.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(i) The five numbers following 2016 with the property are: 2024, 2025, 2035, 2040, and: 2046
(ii) The five numbers preceding 2016 with the property are: 2013, 2010, 2002, 2000, and 1980,
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	2015-12-13 18:21:48

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