Question

two third of a positive number and 27/8of its reciprocal are equal. the number is​

Answer 1

Answer:

9/4

Step-by-step explanation:

Let the no. be = x

Its 2/3 becomes = (2/3)x

Its reciprocal will be = (1/x)

According to question

(2/3)x =(27/8)(1/x) or

(2/3)x = (3/2)^3 × (1/x)

On solving a little we get

(x)^2 = (3/2)^4

x = (3/2)^2

x = 9/4