Question

The difference of two positve number is 6.The product is 216.Find the numbers.

Answer 1

Answer:

18 and 12

Step-by-step explanation:

Let the two numbers be x and y.

x-y=6

x=6+y ------------ (1)

x×y=216

Substituting value of x from (1),

(6+y)y = 216

6y+y² = 216

y²+6y-216 = 0

y²+18y-12y-216 = 0

y(y+18) -12(y+18) = 0

(y+18)(y-12) = 0

y= -18(rejected)

y= 12

x=6+y=6+12

x=18