Question

A natural number when increased by 12 becomes equal to 160 times its reciprocal. Find the number ?

Answer 1

Let the number be x

so by the condition given in your question we get equation

x + 12 = 160 × 1/ x

x^2 + 12x = 160

x^2 + 12x - 160 = 0

x^2 + 20x - 8x - 160 = 0

x ( x + 20 ) - 8 ( x + 20 ) = 0

( x + 20 ) ( x - 8 ) = 0

x = - 20 or x = 8

but x should be a natural number so x = 8

so your required number is 8