If the sum of two numbers is 36 and their product is 315, find the numbers.
with method please
Answers
Answered by
4
Answer:
he number are 15 and 21
refer to the attachment for the solution.
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Answered by
3
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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