The average of twelve numbers is seven. If two is added to each number then what will be the new average?

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Solution

Dear Student,
$L e t t h e s u m o f 12 n u m b e r s b e x n o w, A v g . o f 12 n u m b e r s i s 7, t h e r e f o r e; \frac{x}{12} = 7 \to x = 84 a n d, i f t w o i s a d d e d t o e a c h n u m b e r, t h e n t h e n e w s u m o f t h e n u m b e r w i l l b e; x + 2 \times 12 = 84 + 24 = 108 N o w, f o r t h e n e w a v g . \frac{108}{12} = 9$

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