Question -
Answer -
Let the natural number be x.
According to the question,
x + 12 = 160/x
On multiplying by x on both sides, we get
=> x2 + 12x – 160 = 0
=> x2 + (20x – 8x) – 160 = 0
=> x2 + 20x – 8x – 160 = 0 [by factorisation method]
=> x (x + 20) – 8 (x + 20) = 0
=> (x + 20) (x – 8) = 0
Now, x + 20 = 0 => x = -20 which is not possible because natural number is always greater than zero
and x – 8 = 0 => x = 8.
Hence, the required natural number is 8.