Class 10 Exam  >  Class 10 Questions  >  The difference between a two-digit number and... Start Learning for Free
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
  • a)
    3
  • b)
    4
  • c)
    9
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The difference between a two-digit number and the number obtained by i...
Given:
Number obtained by interchanging the positions of its digits = 36
Calculation:
Let the ten's digit be x and unit's digit be y respectively
Then,
⇒ (10x + y) – (10y + x) = 36
⇒ 9(x – y) = 36
⇒ x – y = 4
∴ The difference between the two digits of that number is 4
View all questions of this test
Most Upvoted Answer
The difference between a two-digit number and the number obtained by i...

Understanding the problem:
The given problem states that the difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36.

Solution:
Let the original two-digit number be represented as 10a + b, where 'a' is the digit in the tens place and 'b' is the digit in the ones place.

1. Original number: 10a + b
2. Number obtained by interchanging the digits: 10b + a

Given that the difference between these two numbers is 36:
(10a + b) - (10b + a) = 36
9a - 9b = 36
a - b = 4

Therefore, the difference between the two digits of that number is 4.

Hence, the correct answer is option B) 4.
Explore Courses for Class 10 exam
Question Description
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?a)3b)4c)9d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev