1.

The average weight of 10 men is increased by \(1\frac{1}{2}\) kg when one of the men whose weight is 68 kg, is replaced by a new man. Find the weight of the new man.1). 87 kg2). 59 kg3). 85 kg4). None of these

Answer»

SINCE the average has increased, the new MAN will have weight more than 68.

Let, the original average be a, and let the weight of new man be x.

Average = Total weight / No. of people

∴a = (Total weight of 9 people + 68)/10

⇒ 10a = 68 + Total weight of 9 people

(Weight of remaining 9 people remains unchanged)

New average will be (1.5 + a) = (Total weight of 9 people + x)/10

⇒1.5 + a = [(10a – 68) + x]/10

⇒ 15 + 10a = 10a – 68 + x

⇒ x = 15 + 68 = 83 KG


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