A number of two digits exceed the number formed by reversing the digits by 18. If the sum of the digits is 10, find the number.
A number of two digits exceed the number formed by reversing the digits by 18. If the sum of the digits is 10, find the number.
Option 1 -
73
Option 2 -
46
Option 3 -
64
Option 4 -
82
-
1 Answer
-
Correct Option - 3
Detailed Solution:Let X be the units digit of the number and Y be the tens digit.
The number is 10Y + X
The reversed number is 10X + Y
(10Y + X) – (10X + Y) = 18 or 9Y – 9X = 18
Digits = X + Y = 10
on solving X = 4, Y = 6
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers