Numbers

Given that x2018y2017 = 1/2 and x2016y2019 = 8, the value of x2 + y3 is

  1. 35/4
  2. 37/4
  3. 31/4
  4. 33/4

Answer

x2018y2017 = 1/2

x2016y2019 = 8

Divide the two equations,

x2/y2 = 1/16

x/y = 1/4

y = 4x

So, x2016(4x)2019 = 8

x4035 × 24038 = 23

x = 1/2

y = 2

Hence, x2 + y3 = 1/4 + 8

= 33/4

The correct option is D.