Question

Multiplication of 2 no is 72. If one of the number is 6 more than the other find the smaller one

Answer 1

Answer:

smaller number is 6

Step-by-step explanation:

let the greater number be x.

so the smaller one is (x-6)

therefore

$x(x - 6) = 72 \\ {x}^{2} - 6x - 72 = 0 \\ {x}^{2} - 12x + 6x - 72 = 0 \\ x(x - 12) + 6(x - 12) = 0 \\ (x + 6)(x - 12) = 0 \\ if \: x + 6 = 0 \: then \: x = - 6 \\ if \: x - 12 = 0 \: then \: x = 12. \\ therefore \: x \: = 12. \\ and \: smaller \: number \: is \: 12 - 6 = 6.$

Answer 2

Answer:

6 is answer this is smaller one