Question

The average weight of three friends Ram, Ramesh and Shyam is 76 kg. Somesh joins them and the average weight of the four friends becomes 74 kg. If Mohan, whose weight is 2 kg more than that of Somesh replaces Ramesh, the average weight of Ram, Shyam, Somesh and Mohan becomes 68 kg. Find the weight of Ramesh.

• A. 89 kg
• B. 94 kg
• C. 75 kg
• D. 84 kg

Answer 1

Answer:

B. 94 kg

Average of Ram, Ramesh, Shyam = 76
$Total = (3 \times 76 = 228)$

After Somesh joins:
Average = 74 for 4 people
$Total = (4 \times 74 = 296)$

So, weight of Somesh = (296 - 228 = 68)

Mohan’s weight = Somesh + 2 = (68 + 2 = 70)

Now new group: Ram, Shyam, Somesh, Mohan
Average = 68 for 4 people
$Total = (4 \times 68 = 272)$

So,

$\text{Ram + Shyam + Somesh + Mohan} = 272$

$\text{Ram + Shyam + 68 + 70} = 272$

$\text{Ram + Shyam} = 272 - 138 = 134$

Now from earlier:

$\text{Ram + Ramesh + Shyam} = 228$

$134 + \text{Ramesh} = 228$

$\text{Ramesh} = 228 - 134 = 94$

Final Answer: 94 kg