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Question 11
If the sum of three consecutive numbers is 15, what is the square of the middle number ?
Solution
Let the three consecutive numbers be $$(x-1),(x),(x+1)$$
Sum = $$(x-1)+x+(x+1)=15$$
=> $$3x=15$$
=> $$x=\frac{15}{3}=5$$
$$\therefore$$ Square of the middle number = $$x^2=5^2=25$$
=> Ans - (B)
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