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| hundreds digit | tens digit | ones digit | |
| 264 | 2 | 6 | 4 |
| 495 | 4 | 9 | 5 |
| 781 | 7 | 8 | 1 |
| abc | a | b | c |
In the table are the three-digit natural numbers 264, 495 and 781 separated into their hundreds, tens and ones digits. Each number is a multiple of P (P is a two-digit natural number).
[Given that the hundreds, tens and ones digits are respectively a, b and c, and Q is the mathematical relationship between a, b and c, then three-digit natural number abc is a multiple of P.] Also given: a<b and c<b.
⑴ Determine P.
⑵ Determine Q, the relationship between a, b and c.
⑶* Prove the statement between [ ].
from Five Triangles http://ift.tt/1EsNhgk
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