এখন থেকে সাত বছর পর বিরাটের বয়স হবে মহিন্দরের দ্বিগুণ। পাঁচ বছর আগে মহিন্দরের বয়স ছিল বিরাটের বয়সের 2/5 অংশ থেকে এক বছর কম। বিরাটের বর্তমান বয়স কত?

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RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
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  1. 53 বছর
  2. 57 বছর
  3. 51 বছর
  4. 55 বছর

Answer (Detailed Solution Below)

Option 4 : 55 বছর
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ধরা যাক বিরাট এবং মহিন্দরের বয়স যথাক্রমে A এবং B বছর 

এখন থেকে সাত বছর পর বিরাটের বয়স হবে মহিন্দরের চেয়ে দ্বিগুণ।

⇒ (A + 7) = 2(B + 7)

⇒ A - 2B = 7

পাঁচ বছর আগে, মহিন্দরের বয়স বিরাটের বয়সের 2/5 অংশ থেকে এক বছর কম ছিল,

⇒ (B - 5) = 2/5(A - 5) - 1

⇒ 2A - 5B = -10

⇒ 2(7 + 2B) - 5B = -10

⇒ B = 24

⇒ A = 7 + 48 = 55

∴ বিরাটের বয়স 55 বছর।

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