Answer:
The two numbers are 1 and 2.
Step-by-step explanation:
Let the two numbers be <em>a </em>and <em>b</em>.
One number is twice another, so let's let <em>b=2a</em>.
Their reciprocals are 3/2. Thus:

Substitute and solve for <em>a: </em>
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Combine the fractions by forming a common denominator by multiplying the left term by 2:

Combine and cross-multiply:

Thus, the two numbers are 1 and 2.