### Brain Teasers

# Confusing Math

A9543B represents a six-digit number in which A and B are digits different from each other. The number is divisible by 11 and also by 8.

What digit does A represent?

What digit does A represent?

### Hint

The six-digit number is divisible by 8 and 11. Find B first.### Answer

This might be a little confusing:Since the number is divisible by 8, the number 43B formed by the last three digits of the given number is divisible by 8. Digit B must be 2.

Since A95432 is divisible by 11, the difference between the sum of its odd-place digits and the sum of its even-place digits is 0 or a multiple of 11. In this case, the difference is 0. Then (A+5+3)-(9+4+2)=0 is equivalent to A+8=15 or A=7.

B=2

A=7

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