if the sum of two numbers is 36 and their product is 315
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Answered by
5
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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