Multiple choice

Average of the ages of Rakesh, Mahesh, Suresh and Ramesh three years ago was 32 years. Average of the present ages of Mahesh and Suresh is 36 years. Ramesh is 4 years older than Rakesh. Find the present age of Rakesh ? तीन साल पहले राकेश, महेश, सुरेश और रमेश की उम्र का औसत 32 साल था। महेश और सुरेश की वर्तमान आयु का औसत 36 वर्ष है। रमेश राकेश से 4 साल बड़ा है। राकेश की वर्तमान आयु ज्ञात कीजिये?

  1. 32 year

  2. 36 year

  3. 34 year

  4. 38 year

  5. None of these इनमे से कोई नही

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A Correct answer
Explanation

Let the four ages 3 years ago be R, M, S, and Ra. Their average was 32, so sum was 4 × 32 = 128. Therefore, current sum = 128 + 12 = 140. Let Ra = Rk + 4 (Ramesh is 4 years older than Rakesh). Also, M + S = 2 × 36 = 72 (current average of Mahesh and Suresh is 36). So: Rk + (M + S) + Ra = 140. Substituting: Rk + 72 + (Rk + 4) = 140, giving 2Rk + 76 = 140, so 2Rk = 64, Rk = 32. Rakesh's present age is 32 years.