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ladessa [460]
3 years ago
8

a positive integer is twice another. the sum of the reciprocals of the two positive integers is 1/8. find the two integers

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0
Let the integer is x
So, its twice is 2x
So, <span>the reciprocals of the two integers = \frac{1}{x}  \ and  \   \frac{1}{2x}</span>
The sum of <span>the reciprocals of the two positive integers = 1/8
</span>

<span>∴ \frac{1}{x} + \frac{1}{2x} =  \frac{1}{8}</span>
∴ \frac{2+1}{2x} =  \frac{1}{8}
∴ \frac{3}{2x} =  \frac{1}{8}
∴ 2x = 24 
∴ x = 12

So, <span>the two integers are 12 and 24
</span>

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