A 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.

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UGC NET Paper 1: Held on 16th Mar 2023 Shift 1
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  1. 73
  2. 63
  3. 83
  4. 93

Answer (Detailed Solution Below)

Option 2 : 63
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Calculation:

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.

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