A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 11
Let the given number be $(10 x + y)$ where the ten's digit is x and one(unit)'s digit is y.

Now, the number obtained by interchanging the digits $= (10 y + x)$

$∴$ On adding these no.'s $= (10 x + y) + (10 y + x)$

$= 11 (x + y)$

where $11 (x + y)$ is clearly divisible by $11$

Option D $: 11$ .

Suggest Corrections

Similar questions

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

The digit at tens place of a two digit number is two times the digit at its units place. If the digits are interchanged and added to the original number, then the result will be 66. Find the original number.

The digits of a two digit number differ by three. If the digits are interchange and the resulting number is added to the original number, we get 143. What can be the number.

Q. The digits of a two-digit number differ by

3

. If the digits are interchanged and the resulting number is added to the original number, we get

143

. What can be the original number?

Q. The difference of the digits of a two-digit number is

3

. If the digits are interchanged, and the resulting number is added to the original number, then we get

143

. What is the original number?

Join BYJU'S Learning Program

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by

The correct option is D 11Let the given number be (10x+y) where the ten's digit is x and one(unit)'s digit is y.Now, the number obtained by interchanging the digits=(10y+x)∴ On adding these no.'s =(10x+y)+(10y+x)=11(x+y)where 11(x+y) is clearly divisible by 11Option D:11.