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A number between 10 and 100 is five times the sum of its digits . if 9 be added to it?
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A number between 10 and 100 is five times the sum of its digits . if 9...
Given Information:
A number between 10 and 100 is five times the sum of its digits.
Let's assume the number is xy:
So, according to the given information, the number can be represented as 10x + y, where x and y are the digits.
Equation based on the given condition:
10x + y = 5(x + y)
Solving the equation:
10x + y = 5x + 5y
5x = 4y
x = 4y/5
Since the number is between 10 and 100:
We know that x cannot be 0, and y can be any digit from 1 to 9.
Possible solutions for x and y:
If y = 1, then x = 4
If y = 2, then x = 8
If y = 3, then x = 12 (not possible)
If y = 4, then x = 16 (not possible)
If y = 5, then x = 20 (not possible)
If y = 6, then x = 24 (not possible)
If y = 7, then x = 28 (not possible)
If y = 8, then x = 32 (not possible)
If y = 9, then x = 36 (not possible)
Final Solution:
The possible numbers that satisfy the given condition are 41 and 82.
Adding 9 to the number:
41 + 9 = 50
82 + 9 = 91
Therefore, the numbers that satisfy the given condition are 50 and 91.
A number between 10 and 100 is five times the sum of its digits.
Let's assume the number is xy:
So, according to the given information, the number can be represented as 10x + y, where x and y are the digits.
Equation based on the given condition:
10x + y = 5(x + y)
Solving the equation:
10x + y = 5x + 5y
5x = 4y
x = 4y/5
Since the number is between 10 and 100:
We know that x cannot be 0, and y can be any digit from 1 to 9.
Possible solutions for x and y:
If y = 1, then x = 4
If y = 2, then x = 8
If y = 3, then x = 12 (not possible)
If y = 4, then x = 16 (not possible)
If y = 5, then x = 20 (not possible)
If y = 6, then x = 24 (not possible)
If y = 7, then x = 28 (not possible)
If y = 8, then x = 32 (not possible)
If y = 9, then x = 36 (not possible)
Final Solution:
The possible numbers that satisfy the given condition are 41 and 82.
Adding 9 to the number:
41 + 9 = 50
82 + 9 = 91
Therefore, the numbers that satisfy the given condition are 50 and 91.
Community Answer
A number between 10 and 100 is five times the sum of its digits . if 9...
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A number between 10 and 100 is five times the sum of its digits . if 9 be added to it?
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A number between 10 and 100 is five times the sum of its digits . if 9 be added to it? 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 and 100 is five times the sum of its digits . if 9 be added to it? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number between 10 and 100 is five times the sum of its digits . if 9 be added to it?.
A number between 10 and 100 is five times the sum of its digits . if 9 be added to it? 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 and 100 is five times the sum of its digits . if 9 be added to it? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number between 10 and 100 is five times the sum of its digits . if 9 be added to it?.
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