Question 2

1595 is the sum of the square of three consecutive odd numbers. Find the numbers.

Solution

Let the three consecutive odd numbers be $$(x-2),(x),(x+2)$$

According to ques,

=> $$(x-2)^2+(x)^2+(x+2)^2=1595$$

=> $$(x^2-4x+4)+(x^2)+(x^2+4x+4)=1595$$

=> $$3x^2+8=1595$$

=> $$3x^2=1595-8=1587$$

=> $$x^2=\frac{1587}{3}=529$$

=> $$x=\sqrt{529}=23$$

$$\therefore$$ Consecutive odd numbers are = $$21,23,25$$

=> Ans - (C)

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