The average weight of three men is increased by 4 kg when one of them, whose weight is 100 kg, is replaced by another man. What is the weight of the new man?

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**Solution:**

1. Let the original average weight of the three men be *A* kg.

2. The average weight increases by 4 kg after replacing one man, so the new average is *A + 4* kg.

3. Total original weight of three men = $3 	imes A$

4. Total new weight of three men = $3 	imes (A + 4) = 3A + 12$

5. One man weighing 100 kg is replaced by a new man with weight *x* kg.

6. So, new total weight = original total weight - 100 + *x* = $3A - 100 + x$

7. Equate the new total weight expressions:
   $$3A + 12 = 3A - 100 + x$$

8. Simplify:
   $$x = 12 + 100 = 112$$

**Answer:** $112 	ext{ kg}$

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