### Brain Teasers

# What Six Digit Number Am I?

I am a six digit number. My digits add up to 31, and all of my digits are distinct, and between 1 to 9 inclusive. All of my digits except one are odd. My second is 6 greater than my third, which is 5 less than my fifth. My last is 1 less than the previous digit, and the fourth is greater than the third. My first is equal to the sum of my fourth and fifth.

### Hint

The second and third numbers have to be 7 & 1.### Answer

The second and third numbers have to be 7 & 1. The alternative 9 & 3 wouldn't work because that would make the fifth number 8 when the only even number is 6. The rest falls easily into place.So I am 971365.

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