Question
Download Solution PDFA two digit number has 3 in its unit's place and the sum of the two digits of the number is 1/7 of the number itself. Find the number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let's denote the digit in the tens place as 'a'. Since the digit in the
unit's place = 3, the number can be expressed as 10a + 3.
According to the problem, the sum of the digits (which is a + 3) = 1/7
of the number itself. We can write this as:
a + 3 = (1/7) × (10a + 3)
⇒ 7a + 21 = 10a + 3
⇒ 3a = 18
⇒ a = 6
Therefore, the number is 63.
So, the answer is 63.
Last updated on Jun 6, 2025
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