Questions  

If the digits of a two-digit number are interchanged, the number so formed is 18 more than the original number. The sum of digits is 8. The thrice value of original number is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
159
b
78
c
105
d
150

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Let unit’s digit =x

Ten’s digit =y

The original number =1(x)+10(y)

=x+10y

After inter changing the digits

The new number is =10x+y

As per the problem 10x+y=x+10y+18

9x9y=18

xy=2(1)

Given the sum of digits

x+y=8(2)

By solving is (2)

2x=10x=5

xy=2

5y=2y=3

The original number =35

Thrice value of original =3×35=105

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace



Practice More Questions

Easy Questions

Moderate Questions

Difficult Questions


Download the app

phone icon
whats app icon