The difference between two positive integers is 4 and the difference between their reciprocal is 1/24, find the 2 integers.

Question

Mathematics

Jaylynn Vazquez

11 February, 09:20

The difference between two positive integers is 4 and the difference between their reciprocal is 1/24, find the 2 integers.

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Answers (2)

Know the Answer?

Valentina Copeland · Answer 1

X - y = 4

1/y - 1/x = 1/24

x = y + 4

1/y - 1 / (y + 4) = 1/24

(y + 4) / y - 1 = (y + 4) / 24

y/y + 4/y - 1 = y/24 + 1/6

4/y = y/24 + 1/6

4 = y^2/24 + y/6

96 = y^2 + 4y

y^2 + 4y - 96 = 0

(y + 12) (y - 8) = 0

The numbers are 8 and 12

Boy · Answer 2

Heres the answer

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