# The average of 8 numbers is 20 The average of first…

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### The average of 8 numbers is 20. The average of first two numbers is $$15\frac{1}{2}$$ and that of the next three is $$21\frac{1}{3}$$. If the sixth number be less than the seventh and eighth numbers by 4 and 7 respectively, then the eight number is-

1. A. 18
2. B. 22
3. C. 25
4. D. 27

$$Leftrightarrow left( {2 times 15frac{1}{2}} right) + left( {3 times 21frac{1}{2}} right)$$     $$+ left( {x - 7} right)$$   $$+ left( {x - 3} right)$$   $$+ ,x = 8 times 20$$
eqalign{ & Leftrightarrow 31 + 64 + left( {3x - 10} right) = 160 cr & Leftrightarrow 3x = 75 cr & Leftrightarrow x = 25 cr}