Question

A number consists of two digits. If the digits interchange their places and the new number is added to the original number, then the number becomes two times of the original number. Find the number.

Answer 1

Answer:here is it

Step-by-step explanation:

Answer: Multiple of 11(e.g. 11,22,33,44,...)

Solution:

Let the ten's digit be x and unit's digit be y.

Then, number = 10x + y.

Number obtained by interchanging the digits = 10y + x.

∴ (10x + y) + (10y + x) = 11(x + y), which is divisible by 11.