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
.. ....?how?
.. ....?how?
Most Upvoted Answer
The sum of the digits of a two digit number is 10. If 18 be subtracted...
Solution:
Let the number be xy, where x and y are the tens and units digits respectively.
Given, x + y = 10
Therefore, x = 10 - y
When 18 is subtracted from the number, we get (xy - 18)
According to the question, the digits in (xy - 18) are equal. Therefore, we can write:
x - 1 = y - 8
Substituting the value of x from the first equation, we get:
(10 - y) - 1 = y - 8
9 - y = y - 8
2y = 17
y = 8.5
But y is a digit, which means it must be a whole number. Therefore, there is no two-digit number whose digits add up to 10 and whose digits are equal when 18 is subtracted from it.
Hence, the answer is that there is no such number.
Let the number be xy, where x and y are the tens and units digits respectively.
Given, x + y = 10
Therefore, x = 10 - y
When 18 is subtracted from the number, we get (xy - 18)
According to the question, the digits in (xy - 18) are equal. Therefore, we can write:
x - 1 = y - 8
Substituting the value of x from the first equation, we get:
(10 - y) - 1 = y - 8
9 - y = y - 8
2y = 17
y = 8.5
But y is a digit, which means it must be a whole number. Therefore, there is no two-digit number whose digits add up to 10 and whose digits are equal when 18 is subtracted from it.
Hence, the answer is that there is no such number.
Community Answer
The sum of the digits of a two digit number is 10. If 18 be subtracted...
Let x = 10's digit of a two digit numberLet y = units digitLet z = the resulting equal digits:Write an equation for each statement::"the sum of a two digit number is 10."x + y = 10ory = (10-x):" if 18 be subtracted from it, the digits in the resulting number will be equal."10x + y - 18 = 10z + z10x + y = 11z + 18:Substitute (10-x) for y10x + (10-x) = 11z + 1810x - x = 11z + 18 - 109x = 11z + 8:The single digit integer values for x and z are limited to x=7 and z=5 in this equation:x = 7, y = 3, z = 5:The number is 73:Check in the statement:"if 18 be subtracted from it, the digits in the resulting number will be equal."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 is .. ....?how?
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 is .. ....?how? 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 is .. ....?how? 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 is .. ....?how?.
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 .. ....?how? 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 is .. ....?how? 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 is .. ....?how?.
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 is .. ....?how? 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 is .. ....?how? 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 is .. ....?how?, 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 is .. ....?how? 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 is .. ....?how? 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 is .. ....?how? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup