Question

The digits of a certain three-digit number are consecutive odd numbers. If the sum of the digits is 15, find the number.

Answer 1

Let the digits of the 3 digit number be $x-2,x,x+2$. where $x$ is an integer greater than 1. It is given that the sum of the 3 digits is 15. Hence,

$x-2+x+x+2=15\\ 3x=15\\ x=5$

Thus the digits are $3,5,7$.

Therefore, the number is $357$.

We assume that the digits of the number is increasing from the 100th place.

Answer 2

The answer is 5 because it is consecutive 3 times and it is an odd number