When 1/7 of the number is subtracted from the number itself, it gives the same value as the sum of all the angles of a triangle. What is the number?

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JKSSB SI Official Paper (Held On: 13 Dec 2022 Shift 1)
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  1. 200
  2. 210
  3. 250
  4. 300

Answer (Detailed Solution Below)

Option 2 : 210
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Detailed Solution

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Given:

1/7 of a number subtracted from the number = Sum of angles of a triangle

Formula used:

Sum of angles of a triangle = 180°

Calculations:

Let the number be 'x'.

x - (1/7) × x = 180

⇒ x - x/7 = 180

⇒ (7x - x) / 7 = 180

⇒ 6x / 7 = 180

⇒ x = (180 × 7) / 6

⇒ x = 30 × 7 = 210

∴ The number is 210.

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