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A number consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then the digits are reversed. Find the number?
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A number consists of two digits such that the digit in one's place is ...
Understanding the Problem
To solve the problem, we need to define the two-digit number based on the given conditions.
Defining the Digits
- Let the digit at the tens place be represented as "x".
- According to the problem, the digit in the one's place is thrice the digit at the tens place. Therefore, the one's place digit can be represented as "3x".
Formulating the Number
The two-digit number can be expressed as:
- Number = 10 * (tens place) + (ones place) = 10x + 3x = 13x.
Using the Condition of Reversal
When 36 is added to this number, the digits are reversed. This means:
- New number = 13x + 36.
- The reversed number can be expressed as 10 * (ones place) + (tens place) = 10(3x) + x = 30x + x = 31x.
Setting up the equation:
- 13x + 36 = 31x.
Solving the Equation
Now, let's solve for x:
- 36 = 31x - 13x
- 36 = 18x
- x = 2.
Finding the Digits
Using the value of x:
- Tens place = x = 2.
- Ones place = 3x = 3 * 2 = 6.
Conclusion
The two-digit number is:
- Number = 10 * 2 + 6 = 26.
Thus, the required number is 26.
To solve the problem, we need to define the two-digit number based on the given conditions.
Defining the Digits
- Let the digit at the tens place be represented as "x".
- According to the problem, the digit in the one's place is thrice the digit at the tens place. Therefore, the one's place digit can be represented as "3x".
Formulating the Number
The two-digit number can be expressed as:
- Number = 10 * (tens place) + (ones place) = 10x + 3x = 13x.
Using the Condition of Reversal
When 36 is added to this number, the digits are reversed. This means:
- New number = 13x + 36.
- The reversed number can be expressed as 10 * (ones place) + (tens place) = 10(3x) + x = 30x + x = 31x.
Setting up the equation:
- 13x + 36 = 31x.
Solving the Equation
Now, let's solve for x:
- 36 = 31x - 13x
- 36 = 18x
- x = 2.
Finding the Digits
Using the value of x:
- Tens place = x = 2.
- Ones place = 3x = 3 * 2 = 6.
Conclusion
The two-digit number is:
- Number = 10 * 2 + 6 = 26.
Thus, the required number is 26.
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A number consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then the digits are reversed. Find the number?
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A number consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then 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 consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then 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 consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then the digits are reversed. Find the number?.
A number consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then 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 consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then 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 consists of two digits such that the digit in one's place is thrice the digit at tens place. If 36 be added then the digits are reversed. Find the number?.
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