Question

The difference between two number is 9 and the product of the number is 162 find the 2 number

Answer 1

Answer:

18 and 9

OR

-18 and -9

Step-by-step explanation:

Let:

first number = x

second number = y

According to given conditions:

x -  y = 9 ---------- eq1

x * y = 162 ------- eq2

From eq1:

x = 9 + y

Put it in eq2:

(9+ y)*y = 162

9y + y^2 - 162 = 0

OR

y^2 + 9y -162 = 0

By factorizing we get:

y^2 -9y + 18y - 162 = 0

Taking common:

y(y - 9) + 18(y - 9) = 0

(y - 9)(y + 18) = 0

So:

y = -18 and y = 9

ignoring negative integer

Putting values of y in eq1:

   x - 9 = 9

  x = 9 + 9

   x = 18

So the two numbers are:

18 and 9

OR

-18 and -9

i hope it will help you!