A number whose fifth part increased by 4 is equal to its fourth part reduced by 10. Find the number.

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AFCAT 26 Aug 2022 (Shift 2) Memory Based Paper
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  1. 210
  2. 280
  3. 260
  4. 230

Answer (Detailed Solution Below)

Option 2 : 280
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Detailed Solution

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Calculation:

Let the required number be N.

According to the question, 

\(\frac{N}{5}+4 = \frac{N}{4}-10\)

⇒ \(\frac{N}{4} - \frac{N}{5} = 14\)

\(\frac{5N-4N}{20} = 14\) 

⇒ N = 280

∴ The required number is 280  

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