The average of 8 consecutive integers is 23/2. What is the average of first three integers?
Let the 8 consecutive integers be = $$(x),$$Â $$(x+1),$$Â $$(x+2),$$Â $$(x+3),$$Â $$(x+4),$$Â $$(x+5),$$Â $$(x+6)$$ and $$(x+7)$$
Sum of integers =Â $$(x)+$$Â $$(x+1)+$$Â $$(x+2)+$$Â $$(x+3)+$$Â $$(x+4)+$$Â $$(x+5)+$$Â $$(x+6)+(x+7)$$ $$=\frac{23}{2}\times8$$
=> $$8x+28=92$$
=> $$8x=92-28=64$$
=> $$x=\frac{64}{8}=8$$
$$\therefore$$ Average of first three integers = $$\frac{(8)+(8+1)+(8+2)}{3}$$
= $$\frac{27}{3}=9$$
=> Ans - (A)
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