### Brain Teasers

# Largest Number

What's the largest natural number that satisfies this condition:

Each digit from the third on equals the sum of its two preceding digits.

Each digit from the third on equals the sum of its two preceding digits.

### Answer

To make a largest number, we need the most number of digits. So we should start with the smallest digits possible. The first digit is at least 1, and the second digit can be 0.So, the largest number we are looking for is 10112358.

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