Question

If 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number, find the number.

Answer 1

x - a number

$4\cdot\frac{1}{x}=\frac{5}{2}\cdot\frac{1}{ x}+3|\cdot 2x\\ 8=5+6x\\ 6x=3\\ x=\frac{3}{6}=\frac{1}{2}$