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In a class of 52 students, the number of boys is two less than the number of girls. Average weight of the boys is 42 kg, while the average weight of all the 52 students is 40 kg. Approximately what is the average weight of the girls?
29 kg
40 kg
38 kg
42 kg
Let, no. of boys and girls is b and g respectively.
∴ b + g = 52 -------------------(i)
Also, g - b = 2 -----------------(ii)
By (i) and (ii)
⇒ b = 25 ⇒ g = 27
⇒ Total weight of boys = 42 × 25 = 1050
⇒ Total weight of class = 52 × 40 = 2080
Weight of girls = Total weight of class – Total weight of boys
∴ Weight of girls = 2080 – 1050 = 1030
Average weight of girls = 1030/27
= 38.148 » 38
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