Question

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

Answer 1

Answer:

15

21

Step-by-step explanation:

Let the 2 nos: be "x" and "y".

According to the Q,

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

xy = 315 -----(2)

(2) => y = 315/x -----(3)

Substitute (3) in -----(1)

>> x + 315/x = 36

Taking L.C.M. = x

>> (x² + 315)/x = 36

>> x² + 315 = 36x

>> x² - 36x + 315 = 0

Sum = -36

Product = 315

>> x² - 21x - 15x + 315 = 0

>> x (x - 21) - 15 (x - 21) = 0

>> (x - 15) (x - 21) = 0

>> x - 15 = 0

>> x = 15

>> x - 21 = 0

>> x = 21

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