Question

Q:- The sum of a numbers is 12
Sum of its recoprocal is 3/8find the
numbers
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Answer 1

Explanation:

x+y=12..... (1)

1/x+1/y=3/8

x+y/xy =3/8 ( TAKE LCM )

AS WE KNOW x+y=12

12/xy=3/8

xy =32

(x-y) ²=(x+y) ²-4xy formula

(x-y) ² = 144-128 = 16

x-y=4.......(2)

FROM (1)&(2)

x+y+x-y=12+4

2x=16

x=8 y=4

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