Quant Exam > Quant Questions > The sum of the digits of a two-digit number i...
Start Learning for Free
The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?
- a)15
- b)51
- c)24
- d)42
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
a + b = 6
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
Most Upvoted Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
Solution:
Let the tens digit be x and the units digit be y.
Given, x+y=6
Also, on reversing the digits, the new number becomes 10y + x, which is 36 less than the original number.
Therefore, the equation becomes 10x + y = 10y + x - 36
Simplifying this equation, we get 9x - 9y = 36
Dividing both sides by 9, we get x - y = 4
Now we have two equations with two variables, which can be solved simultaneously to obtain the values of x and y.
x + y = 6
x - y = 4
Adding both the equations, we get:
2x = 10
x = 5
Substituting the value of x in any one of the equations, we get:
y = 1
Therefore, the required number is 51, which is option B.
Let the tens digit be x and the units digit be y.
Given, x+y=6
Also, on reversing the digits, the new number becomes 10y + x, which is 36 less than the original number.
Therefore, the equation becomes 10x + y = 10y + x - 36
Simplifying this equation, we get 9x - 9y = 36
Dividing both sides by 9, we get x - y = 4
Now we have two equations with two variables, which can be solved simultaneously to obtain the values of x and y.
x + y = 6
x - y = 4
Adding both the equations, we get:
2x = 10
x = 5
Substituting the value of x in any one of the equations, we get:
y = 1
Therefore, the required number is 51, which is option B.
Free Test
FREE
| Start Free Test |
Community Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
a + b = 6
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup