Question

If the sum of two numbers is 36 and their product is 315, find the numbers.
with method please

Answer 1

Answer:

he number are 15 and 21

refer to the attachment for the solution.

Answer 2

Answer:

The numbers are 21 and 15.

Step-by-step explanation:

let the two numbers be x and y

x + y = 36 ---------- (1)

x = 36 - y

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.

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