CA Foundation Exam > CA Foundation 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 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number is
- a)37
- b)73
- c)75
- d)none of these numbers
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 10. If 18 be subtracted...
x = 10's digit of a two digit number(Let)
y = units digit(Let)
n=Resulting equal digits(Let)
Condition 1-the sum of a two digit number is 10
x + y = 10
further simplifying
y = (10-x)
Condition 2-if 18 be subtracted from it the digits in the resulting number will be equal
10x + y - 18 = 10n + n
10x + y = 11n+ 18
Substitutituting values found above
10x + (10-x) = 11n + 18
10x - x = 11n + 18 - 10
9x = 11n+ 8
If we solve it we will found the values as - x = 7, y = 3, z = 5 and finally we can say the no. is 73.
Most Upvoted Answer
The sum of the digits of a two digit number is 10. If 18 be subtracted...
Solution:
Let the ten's digit be x and unit's digit be y.
According to the question,
x + y = 10 ---(1)
(10x + y) - 18 = (10y + x)
9x - 9y = 18
x - y = 2 ---(2)
Adding equations (1) and (2), we get
2x = 12
x = 6
Putting the value of x in equation (1), we get
y = 4
Therefore, the number is 64.
When we subtract 18 from 64, we get 46 whose digits are equal.
Hence, the correct answer is option B) 73.
Let the ten's digit be x and unit's digit be y.
According to the question,
x + y = 10 ---(1)
(10x + y) - 18 = (10y + x)
9x - 9y = 18
x - y = 2 ---(2)
Adding equations (1) and (2), we get
2x = 12
x = 6
Putting the value of x in equation (1), we get
y = 4
Therefore, the number is 64.
When we subtract 18 from 64, we get 46 whose digits are equal.
Hence, the correct answer is option B) 73.
Free Test
FREE
| Start Free Test |
Community Answer
The sum of the digits of a two digit number is 10. If 18 be subtracted...
73,
Because 7+3=10
and, 73-18=55
Because 7+3=10
and, 73-18=55
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer?
Question Description
The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer?.
The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect 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 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect 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 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect 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 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number isa)37b)73c)75d)none of these numbersCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
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