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A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.

Respuesta :

Answer:

9 and 18

Step-by-step explanation:

Let the integers be a and 2a (since one is twice the other).

The reciprocals are 1/a and 1/(2a) respectively.

Difference means tk subtract.

So we have 1/a-1/(2a)=1/18

Multiply both sides by 18:.

18a/a-18a/(2a)=18a/18

Simplify:

18-9=a

Simplify:

9=a

If a=9, then 2a=18

The integers are 9 and 18.

Test:

1/9-1/18

2/18-1/18

1/18

Golden!

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