The sum of three numbers is 1000. One of the numbers, Z, is 50% more than the sum of the other two numbers. What is the value of Z ?

A) 500

B) 600

C) 700

D) 800

Solution:

Choice B is correct.

Let the three numbers be X, Y, Z.

According to the question Z = 1.5 (X + Y)

Also, X + Y + Z = 1000

Therefore, Z/1.5 + Z = 1000

Or 5Z/3 = 1000

Or Z = 600.