Question

A natural number when increased by 12 ,equals to160 times its reciprocal.find the number​

Answer 1

Answer:

the answer will be 172 because if you will increase 160 natural nubers after 12 the. answer will be 172

Answer 2

Let the natural number be x.

Hence,

As per question :-

$x + 12 = 160( \frac{1}{x}) \\ \\ \\x(x + 12) = 160 \\ \\ \\ {x}^{2} + 12x - 160 = 0 \\ \\ \\ {x}^{2} + 20x - 8x - 160 = 0 \\ \\ \\x(x + 20) - 8(x + 20) = 0 \\ \\ \\(x - 8)(x + 20) = 0$

On solving we get :-

$x - 8 = 0 \\ \\ x = 8 \\ \\ \\ \\ x + 20 = 0 \\ \\ x = - 20$

Now,

X can never be equal to (-20) as it is a natural number (given)

Hence,

x is equal to 8

Answer!