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A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number?
Most Upvoted Answer
A number between 10 and100 is five times the sum of its digits. If 9 b...
Analysis:
The number we are looking for is between 10 and 100, which means it is a two-digit number. Let's represent the number as 10x + y, where x is the digit in the tens place and y is the digit in the ones place.
Given Conditions:
1. 10x + y = 5(x + y)
2. 10x + y + 9 = 10y + x
Solving the Equations:
From the first equation:
10x + y = 5x + 5y
=> 5x = 4y
=> y = (5/4)x
Substitute y in terms of x into the second equation:
10x + (5/4)x + 9 = 10(5/4)x + x
=> 10x + 1.25x + 9 = 12.5x + x
=> 11.25x + 9 = 13.5x
=> 2.25x = 9
=> x = 4
Substitute x = 4 back into y = (5/4)x:
y = (5/4) * 4
y = 5
Final Answer:
The number is 10x + y = 10 * 4 + 5 = 45. So, the number is 45.
The number we are looking for is between 10 and 100, which means it is a two-digit number. Let's represent the number as 10x + y, where x is the digit in the tens place and y is the digit in the ones place.
Given Conditions:
1. 10x + y = 5(x + y)
2. 10x + y + 9 = 10y + x
Solving the Equations:
From the first equation:
10x + y = 5x + 5y
=> 5x = 4y
=> y = (5/4)x
Substitute y in terms of x into the second equation:
10x + (5/4)x + 9 = 10(5/4)x + x
=> 10x + 1.25x + 9 = 12.5x + x
=> 11.25x + 9 = 13.5x
=> 2.25x = 9
=> x = 4
Substitute x = 4 back into y = (5/4)x:
y = (5/4) * 4
y = 5
Final Answer:
The number is 10x + y = 10 * 4 + 5 = 45. So, the number is 45.
Community Answer
A number between 10 and100 is five times the sum of its digits. If 9 b...
45
and add 9 in this number u will get 54 and reverses the
is 45
and add 9 in this number u will get 54 and reverses the
is 45
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A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number?
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A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number? 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 A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number?.
A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number? 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 A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number between 10 and100 is five times the sum of its digits. If 9 be added to it the digits are reversed,find the number?.
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