SSC CGL Exam  >  SSC CGL Questions  >  In a two–digit number, the digit at the... Start Learning for Free
In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is

  • a)
    59

  • b)
    23

  • c)
    35

  • d)
    47

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In a two–digit number, the digit at the unit’s place is 1 ...
Understanding the problem:
- Let the ten's place digit be x and the unit's place digit be y.
- As per the given conditions, y = 2x - 1 and 10y + x - (10x + y) = 20.

Solving the equations:
- Substituting y = 2x - 1 in the second equation, we get 10(2x - 1) + x - (10x + 2x - 1) = 20.
- Solving this equation, we get 20x - 10 + x - 10x - 2x + 1 = 20.
- Simplifying further, we get 9x - 9 = 20.
- Solving this equation, we get x = 3.
- Substituting x = 3 in y = 2x - 1, we get y = 5.

Forming the original number:
- The original number is 10x + y = 10(3) + 5 = 30 + 5 = 35.
Therefore, the correct answer is option C) 35.
Free Test
Community Answer
In a two–digit number, the digit at the unit’s place is 1 ...
Let us assume Ten’s digit = P
Unit’s digit = 2P – 1
∴  Original number = 10P + (2P – 1) = 12P – 1
New number = 10 (2P – 1) + P
New number = 20P – 10 + x = 21P – 10
According to given question,
∴  (21P – 10) – (12P + 1) = 12P – 1 – 20
⇒  9P – 9 = 12P – 21
⇒  3P = 12
⇒ P = 4
⇒  Original number = 12P – 1 = 12 × 4 – 1 = 47
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer?
Question Description
In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number isa)59b)23c)35d)47Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev