Successive Numbers

Logic Level 3

A number is called successive if each of its digits, after the first two from left to right, is the sum of the two previous. For example, 3145 and 257 are successive numbers, but 4606 is not. Find the sum of the digits of the largest possible successive number.

The answer is 21.

3 solutions

Chew-Seong Cheong
Apr 21, 2016

The largest successive number is $10112358$ and its sum of digits is $\boxed{21}$ .

Fibonacci!

Mateo Matijasevick - 5 years, 1 month ago

Abin Das
May 13, 2016

For the largest number it should have the most number of digits. So to find a long number we can start with least digits i.e,1 and 0 and the number is 10112358. Thus the sum of digits is 21.

Nitesh Patel
Apr 21, 2016

303369 is a number, which is successive and whose sum of digits is 24 which is obviously greater than 21(answer for this question) and this puts me into thinking that the answer set for this question is wrong.

The problem asks for the sum of digits of the largest successive number not the largest sum of digits of successive number.

Chew-Seong Cheong - 5 years, 1 month ago

I see where i went wrong. Ty

Nitesh Patel - 5 years, 1 month ago

Why not 9099 that way?

Kushagra Sahni - 5 years, 1 month ago

You are right if the largest sum of digits is needed.

Chew-Seong Cheong - 5 years, 1 month ago

Yeah he is wrong both ways.

Kushagra Sahni - 5 years, 1 month ago

@Kushagra Sahni – Yes, you are right.

Chew-Seong Cheong - 5 years, 1 month ago

Successive Numbers

The answer is 21.

3 solutions

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