SOLUTION: Seven times the reciprocal of a number plus five times the reciprocal fo the number equals four. Find the number

Question 185538: Seven times the reciprocal of a number plus five times the reciprocal fo the number equals four. Find the number
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Seven times the reciprocal of a number plus five times the reciprocal fo the number equals four. Find the number
.
Let x = the number
then
1/x = the reciprocal (because x * 1/x = 1)
.
7(1/x) + 5(1/x) = 4
7/x + 5/x = 4
multiplying both sides by x:
7 + 5 = 4x
12 = 4x
3 = x
.
The number is 3
RELATED QUESTIONS
The reciprocal of a number plus the reciprocal of three times the number equals 1/3. Find (answered by Fombitz)

The reciprocal of a number plus the reciprocal of three times the number equals (1)/(3)... (answered by jainpreeja,MathTherapy)

Eight times the reciprocal of a number equals four times the reciprocal of 2 find the... (answered by rfer)

seven times the reciprocal of a number plus 2/3 is 3. Find the... (answered by ankor@dixie-net.com)

two times the reciprocal of a number equals 32 times the reciprocal of 40. find the... (answered by RAY100)

two times the reciprocal of a number equals 32 times the reciprocal of 40. find the... (answered by RAY100,drj)

six times the reciprocal of a number equals three times the reciprocal of six. Find the... (answered by ankor@dixie-net.com)

six times the reciprocal of a number equals 2 times the reciprocal of 7. find the... (answered by stanbon)

9 times the reciprocal of a number equals 3 times the reciprocal of 4. find the number (answered by Theo)