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Popular Word Problems >

The reciprocal of four less than a number is five times the reciprocal of the number. Find the number. Enter your answer as an integer or a reduced fraction. Do not use decimals.

Solution

T h e rec i p roc a l o f f o u r l ess t han a n u mb er i s f i v e t im es t h e rec i p roc a l o f t h e n u mb er . F in d t h e n u mb er . E n t er yo u r an s w er a s an in t e g er or a re d u ce d f r a c t i o n . Do n o t u se d ec ima l s .

Solution

The number : 5

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{x - 4} = 5 \cdot \frac{1}{x}

Solve for

x, \frac{1}{x - 4} = 5 \cdot \frac{1}{x} : x = 5

The number : 5

Popular Examples

The value of Jay's house has increased by 7%. His house is now valued at £749000. What was the value of the house before the increase?the product of 4 and a number plus 17 is 5 2 1/(2) of a number is 100. what is the number 1. The states that a number to a power of negative one is equal to one divided by the number original price 80 sale 35% off what is the sale price