### Brain Teasers

# ABC-DEF-GHIJ

A telephone number has the form ABC-DEF-GHIJ, where each letter represents a different digit. The digits in each part of the number are in decreasing order; that is, ABC, DEF, and GHIJ. Furthermore, D, E, and F are consecutive even digits; G, H, I, and J are consecutive odd digits; and A+B+C=9. What is A?

### Answer

The consecutive even digits DEF can be 420, 642 or 864, while the consecutive odd digits GHIJ can be 7531 or 9753.Since A+B+C=9, none of them can be 9, and GHIJ must be 9753, and one of A, B, C is 1.

The other two add up to 8, which is obtained by 8+0.

Therefore, A, the biggest number of the three, is 8.

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