Question

If two two number are differ by 2 and their product is 360 , then find the number?

Answer 1

ANSWER :–

▪︎ Two numbers are 20 and 18 "or" -18 and -20.

EXPLANATION :–

GIVEN :–

• Difference of two numbers is 2.

• Product of two numbers is 360.

TO FIND :–

• find the two numbers

SOLUTION :–

• Let's the numbers are x and y .

▪︎According to the first condition –

⇒ Difference of two numbers = 2

⇒ x - y = 2

⇒ x = 2 + y –—————eq.(1)

▪︎According to the Second condition –

⇒ Product of two numbers = 360

⇒ xy = 360

⇒ (2 + y)(y) = 360 [ using eq.(1) ]

⇒ y² + 2y = 360

⇒ y² + 2y - 360 = 0

⇒ y² + 20y - 18y - 360 = 0

⇒ y(y + 20) - 18(y + 20) = 0

⇒ (y - 18) (y + 20) = 0

⇒ y = 18 , y = -20

☞ If y = 18 then x = 20.

☞ If y = -20 then x = - 18

Hence, Numbers are 20 and 18 "or" -18 and -20.