Question

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

Answer 1

Answer:

(18 , 9) or (-9 , -18)

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

According to the question,

x - y = 9  ⇒ x = y +9 ...(i)

x*y = 162 ...(ii)

Using x = y + 9 in equation (ii)

(y + 9) *y = 162

y² + 9y = 162

y² + 9y - 162 = 0

9y can be written as 18y - 9y

y² + 18y - 9y - 162 = 0

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

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

y - 9 = 0 or y + 18 = 0

y = 9 or -18

Using the values of y in (i), we get

x = 9 + 9 = 18 and x = -18 + 9 = -9

∴ The two numbers are either (18 , 9) or (-9 , -18)

Answer 2

The 2 nos. are 9 and 18 or -9 and -18