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a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number
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Problem Statement
A two-digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number.
Solution
Step 1: Finding the possible two-digit numbers
We need to find a two-digit number where the product of its digits is 35. The possible two-digit numbers are:
- 1 × 35 = 35
- 5 × 7 = 35
Step 2: Checking the conditions
Now, we need to check which of the two possible numbers satisfies the given condition that when 18 is added to the number, the digits interchange their places.
- For the number 13, adding 18 gives 31, which does not interchange its digits.
- For the number 57, adding 18 gives 75, which does interchange its digits.
Step 3: Final Answer
Therefore, the two-digit number is 57.
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a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number.
a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a two digit number is such that the product of its digit is 35 when 18 is added to the number the digit interchange their places find the number.
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