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 transcribed from pencil and paper, with explanation added

| Comment 2 of 3 |

B ends in         A ends in
    2                 6
    4                 2
    6                 8
    8                 4
    0                 0  (a repetition of a digit)

Single digits don't work for B, so it must be two digits. We'd preferably want a high 10's digit so the carry could be a 2.

82 results in 246, repeating a 2

84 results in 252, an odd 5 and repetition of 2

86 results in 258, an odd 5 and repetition of 8

62 ... 186: much too small, go straight to

68 gives 204

B = 68

A = 204

Posted by Charlie on 2018-01-15 10:01:01

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