In an examination, the highest score and the lowest score are different by 55 and the higher one was 9/4 times the lower one. Find the lowest score.

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 3)
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  1. 40  
  2. 36
  3. 44
  4. 48

Answer (Detailed Solution Below)

Option 3 : 44
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Detailed Solution

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Given:

The highest score and the lowest score are different by 55.

The higher one was 9/4 times the lower one

Calculation:

Let the highest score be x and lowest score be y

According to question

x – y = 55

⇒ x = 55 + y     ---- (1)

Also, x = (9/4)y

⇒ 4x = 9y

⇒ 4x – 9y = 0

Placing the value of x from the equation (1), we get

4(55 + y) – 9y = 0

⇒ 220 + 4y – 9y = 0

⇒ 5y = 220

⇒ y = 44

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