perplexus.info :: Numbers : Get even

Get even (Posted on 2018-01-15)

Find two integers A & B, such that:
1. A=3*B
2. Both integers together use only even digits, all of them, each once.
Provide your reasoning.

Pen and paper (at most!) only.

No Solution Yet Submitted by Ady TZIDON

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Solution

| Comment 1 of 3

Since there are five even digits: 0,2,4,6,8

A must be a three digit number less than 300, so it begins with 2

to be a multiple of 3, the other digits must be 0,4 or 4,6

if 4,6 then A=246 or 264, B=80. Neither works

if 0,4 then A=204 or 240, B=68 or 86. One of these works

A=204, B=68

Posted by Jer on 2018-01-15 07:42:21

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