Question

the difference between square of two number
is 216 and the sum of two number is 18.
The difference between two number is______?
.​

Answer 1

Answer:

The difference of the numbers is 198.

Step-by-step explanation:

Let the numbers be x and y.

as per the information provided in the question,

x^2 - y^2 = 216

so, (x+y) (x-y) = 216...................(1)

as per the second information,

x + y = 18....................................(2)

now,

eq (1) - eq (2)

so,. (x+y) (x-y) = 216

x + y = 18

(-) (-)

________________

x-y = 198

Hence, the difference of the numbers is 198

Answer 2

Step-by-step explanation:

let the two numbers be x and y

now,

difference between their square is 216

x^2 - y^2 = 216

(x+y)×(x-y) = 216-------eq1

secondly, given the sum of these two numbers are 18

x + y = 18

put this value in eq1

(x+y)×(x-y) = 216

18 × (x - y) = 216

(x - y) = 216/18

x - y = 12