Question 185538
    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