two times the reciprocal of a number equals 40 times the reciprocal of 50. Find the number

Question

two times the reciprocal of a number equals 40 times the reciprocal of 50. Find the number

Answer 1

x=the number

2(1/x)=40*(1/50)

2/x=40/50

2/x=4/5

cross multiply

4x=10

x=10/4

x=5/2 or 2 1/2 or 2.5