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Popular Word Problems >

The sum of twice a positive integer and four times the reciprocal of the integer is 9. Find the integer.

Solution

T h e s u m o f tw i ce a p os i t i v e in t e g er an d f o u r t im es t h e rec i p roc a l o f t h e in t e g er i s 9. F in d t h e in t e g er .

Solution

The number : 4 or \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

2 x + 4 \cdot \frac{1}{x} = 9

Solve for

x, 2 x + 4 \cdot \frac{1}{x} = 9 : x = 4, x = \frac{1}{2}

The number : 4 or \frac{1}{2}

Popular Examples

Bob's sister is 6 years older than twice Bob's age. The sum of their ages is 42 . How old is Bob?Maryl is 40 years older than Shaira. 10 years ago, the sum of their ages was 40.If 3 times a number is increased by 22 , the result is 14 less than 7 times the number. What is the number?Maryl is 5 years younger than Shaira. 4 years ago, the sum of their ages was 12.There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?