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Quantitative Aptitude

Averages

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Question

The average weight of 10 men is decreased by 3 kg, when one of them weighing 80 kg is replaced by a new persons. Find the weight of the new person.

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Solution

$\begin{matrix} L e t a = w e i g h t o f 9 m e n a n d, b = w i g h t o f t h e m a n r e p l a c i n g t h e 10 t h m a n G i v e n \frac{a + 80}{10} - 3 = \frac{a + b}{10} M u l t i p l y b o t h s i d e s b y 10 a + 80 - 30 = a + b s u b r a c t a f r o m b o t h s i d e s 50 = b H e n c e, t h e n e w m a n w e i g h t 50 k g . \end{matrix}$

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