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When the reciprocal of four times a number is added to 3 the result is the reciprocal of three times the number what is the number?
Updated: 9/19/2023
Wiki User
∙ 13y agoBest Answer
1/4x + 3 = 1/3x
Multiply both sides of the equation by 12x:
3 + 36x = 4
Subtract 3 from each side:
36x = 1
Divide each side by 36:
x = 1/36
Check in original problem.
- 4 times (1/36)= 4/36 = 1/9
- Reciprocal of 1/9 = 9
- add 3: 9 + 3 = 12
Result is reciprocal of 3 times the number:
- 3 times (1/36) = 3/36 = 1/12
- reciprocal of 1/12 = 12.
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∙ 13y agoThis answer is:
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