Question 70

The average weight of six persons is 30 kg. If a new person joins this group, then the average weight becomes 28 kg. What is the weight of the new person?

Solution

The average weight of six persons is 30 kg.

Total weight of six persons = $$30\times6$$ = 180 kg

If a new person joins this group, then the average weight becomes 28 kg.

Let's assume the weight of the new person is 'y' kg.

$$\frac{180+y}{6+1}=\ 28$$

$$\frac{180+y}{7}=\ 28$$
180+y = 196
y = 196-180
y = 16
the weight of the new person is 16 kg.

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