Multiple choice

There are three friends in a village. They are Rajat, Raman and Ranjeet. The total average of their weights is 45 kg. If the average of the weights of Rajat and Raman is 40 kg and that of Raman and Ranjeet is 43 kg, then find the weight of Raman.

  1. 30 kg

  2. 31 kg

  3. 32 kg

  4. 34 kg

  5. 35 kg
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

R+Ra+Rn = 45*3 = 135. R+Ra = 40*2 = 80. Ra+Rn = 43*2 = 86. (R+Ra) + (Ra+Rn) = 80 + 86 = 166. (R+Ra+Rn) + Ra = 166. 135 + Ra = 166. Ra = 31.

AI explanation

The total weight of all three friends is 45 times 3, which equals 135 kg. The combined weight of Rajat and Raman is 40 times 2, equaling 80 kg, and the combined weight of Raman and Ranjeet is 43 times 2, equaling 86 kg. Adding these two pairs gives 166 kg, and subtracting the total weight of all three leaves 31 kg for Raman.

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