SOLUTION: The sum of a number and twice its reciprocal is 51/5. What is the number?
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Question 1190827: The sum of a number and twice its reciprocal is 51/5. What is the number?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Let the number be x; then twice the reciprocal is 2/x.
The sum of the two s 51/5:
Multiply everything by the least common denominator 5x to clear fractions:
or
ANSWER: The two numbers are 1/5 and 10
CHECK:
x=1/5 --> 2/x=10 --> x+2/x=10+1/5=51/5
x=10 --> 2/x=1/5 --> x+2/x=10+1/5=51/5
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