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Question from Kim, a parent:

I have a 6 digits. My hundred-thousands digit is 1 less that my ones digit, 8 more than my thousands digit, twice my tens digit, and 4 times my hundreds digit. My ten-thousands digit is 0. What number am I?

Hi Kim.

Let's say the digits are (in order): abc,def.

"My hundred-thousands digit is 1 less that my ones digit"
So a = f - 1. So a must be from 0 to 8 and f must be from 1 to 9.

"[my hundred-thousands digit is] 8 more than my thousands digit"
So a = c + 8. So a must be 8 or 9, but since we already know it cannot be 9, then a = 8.

If a = 8, then c = 0. and f = 9.

Complete the problem this way using this as your head start.

Cheers,
Stephen La Rocque.

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