The product of two successive natural numbers is 8556 .What is the smaller number?
Let the successive natural numbers be $$(x),(x+1)$$
Product = $$x(x+1)=8556$$
=> $$x^2+x-8556=0$$
=> $$x^2+93x-92x-8556=0$$
=> $$x(x+93)-92(x+93)=0$$
=> $$(x+93)(x-92)=0$$
=> $$x=-93,92$$
$$\because$$ The numbers are natural, thus $$x \neq -93$$
$$\therefore$$ Smaller number = $$x=92$$
=> Ans - (D)
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