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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
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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?
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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?.
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