A natural number when increased by 12, equals 160 times reciprocal. The number is-
A
16
B
8
C
6
D
18
Correct Answer: 8
Step 1: Construct the equation based on given condition.let the required natural number be x.According to the question,x+12=160/xOn multiplying by x on both sides, we getx^2+12x−160=0,step 2: Find roots using factorization.By splitting the middle term, we get :⇒x^2+(20x−8x)−160=0⇒x^2+20x−8x−160=0⇒x(x+20)−8(x+20)=0⇒(x+20)(x−8)=0⇒x=8[x≠−20 because it is not a natural number]hence, the required natural number is 8