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The average weight of three men J, K and L is 75 kg. Another man M joins the group and the average now becomes 78 kg. If another man N whose weight is 5 kg less than that of M, replace J then the average weight of K, L, M and N becomes 77 kg. Find the weight of J.
  • a)
    84 kg 
  • b)
    88 kg 
  • c)
    86 kg 
  • d)
    90 kg 
  • e)
    Other than given options
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average weight of three men J, K and L is 75 kg. Another man M joi...
Total weight of J, K and L = 75 × 3 = 225 kg
Total weight of J, K, L and M = 78 × 4 = 312 kg
Weight of M = 312 – 225 = 87 kg
Weight of N = 87 – 5 = 82 kg
Total weight of K, L, M & N = 77 × 4 = 308 kg
Total weight of K, L & M = 308 – 82 = 226 kg
Weight of J = weight of (J, K, L and M) – weight of (K,
L and M)
= 312 – 226 = 86 kg
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Most Upvoted Answer
The average weight of three men J, K and L is 75 kg. Another man M joi...
The weight of J is 86 kg.

Let's solve the problem step by step:

Step 1: Calculate the total weight of J, K, and L.
Given that the average weight of J, K, and L is 75 kg, we can write the equation:
(J + K + L) / 3 = 75

Step 2: Calculate the total weight of J, K, L, and M.
After M joins the group, the average weight becomes 78 kg. So, we can write the equation:
(J + K + L + M) / 4 = 78

Step 3: Calculate the weight of M.
To find the weight of M, we can rearrange the equation from step 2:
J + K + L + M = 312

Step 4: Calculate the weight of N.
The weight of N is given to be 5 kg less than M. So, we can write the equation:
N = M - 5

Step 5: Calculate the average weight of K, L, M, and N.
After N replaces J, the average weight becomes 77 kg. So, we can write the equation:
(K + L + M + N) / 4 = 77

Step 6: Substitute the values of M and N from step 3 and 4 into the equation from step 5.
(K + L + 312 - 5) / 4 = 77
(K + L + 307) / 4 = 77
K + L + 307 = 308
K + L = 1

Step 7: Substitute the value of K + L from step 6 into the equation from step 1.
(J + 1) / 3 = 75
J + 1 = 225
J = 224

Therefore, the weight of J is 86 kg (option C).
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The average weight of three men J, K and L is 75 kg. Another man M joins the group and the average now becomes 78 kg. If another man N whose weight is 5 kg less than that of M, replace J then the average weight of K, L, M and N becomes 77 kg. Find the weight of J.a)84 kgb)88 kgc)86 kgd)90 kge)Other than given optionsCorrect answer is option 'C'. Can you explain this answer?
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