Question

if the sum of two numbers is 36 and their product is 315.find the numbers​

Answer 1

The numbers are 21 and 15.

Step-by-step explanation:

Let the two number  = x and y

To find, the numbers = ?

According to question,

x + y = 36       ....(1)

And,

xy = 315         .....(2)

We know that,

$(x-y)^2=(x+y)^2-4xy$

⇒ $(x-y)^2=36^2-4(315)$

⇒ $(x-y)^2=1296-1260$

⇒ $(x-y)^2=6^2$

x - y = 6       ....(3)

Adding (1) and (3), we get

x + x = 36 + 6 ⇒ 2x = 42

⇒ x = 21

Putting the value of x in (1), we get

21 + y = 36

⇒ y = 36 -21 = 15

Hence, the numbers are 21 and 15.