Question

The average age of 3 men A, B and C is 84 Kg. If another person D joins the group, the average becomes 80. If E, who is 3 Kg heavier than D, replaces A, the average becomes 79. Find the weight of A?

• A. 72 kg
• B. 75 kg
• C. 79 kg
• D. 74 kg
• E. None of the above

Answer 1

The correct option is B 75 kg

Let the weights of A, B, C, D and E be a, b, c, d and e respectively.
Then, a+b+c=252 Kg
$a+b+c+d=320Kg\Rightarrow d=68Kg$
Now, E replaces A $\to \frac{320+71-a}{4}=79$