Question

The numbers 1/2,x,y,3/4 are in increasing order of size. The differences between successive numbers in this list are all the same. What is the value of y?

Answer 1

2/3

Explanation:

Let the differences between those numbers = z

As it said the differences between 1/2,x,y,3/4 are the same, we can think like this :

1/2+z=x

1/2+2z=y

1/2+3z=3/4

from 1/2+3z=3/4

we move 1/2 and then we get

3z=3/4-1/2

3z=1/4

z=1/12

y=1/2+2z

y=1/2+2(1/12)

y=1/2+2/12

y=4/6

y=2/3