माझ्या सध्याच्या वयाचा तीन-पंचमांश हे माझ्या एका चुलत भावाच्या वयाच्या पाच-षष्ठमांश समान आहे. माझे दहा वर्षांपूर्वीचे वय हे त्याचे चार वर्षांनंतरचे  वय असेल. माझे सध्याचे वय ______ वर्षे आहे.

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RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)
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  1. 55
  2. 45
  3. 60
  4. 50

Answer (Detailed Solution Below)

Option 4 : 50
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Detailed Solution

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माझे सध्याचे वय = x वर्षे आणि माझ्या चुलत भावाचे वय = y वर्षे मानू.

माझ्या सध्याच्या वयाचा तीन-पंचमांश हे माझ्या एका चुलत भावाच्या वयाच्या पाच-षष्ठमांश समान आहे.

⇒ 3x/5 = 5y/6

⇒ 18x = 25y

माझे दहा वर्षांपूर्वीचे वय हे त्याचे चार वर्षांनंतरचे  वय असेल.

⇒ x – 10 = y + 4

⇒ y = x – 14,

⇒ 18x = 25(x – 14)

⇒ 18x = 25x – 350

⇒ 7x = 350

∴ x = 50 वर्षे 
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