If x, y, and z are integers greater than 1, what is the value of x+y+z?
1. xyz = 70
2. x/yz = 7/10
Thanks
1. xyz = 70
2. x/yz = 7/10
Thanks
Statement 1: 70 = 2*5*7alex.gellatly wrote:If x, y, and z are integers greater than 1, what is the value of x+y+z?
1. xyz = 70
2. x/yz = 7/10
Hence, 70 can be expressed as the product of three positive integers greater than 1 in only one way, i.e. 2*3*5
Therefore, (x + y + z) will always be equal to (2 + 5 + 7) = 14
Sufficient
Statement 2: 10x = 7yz
This means x must be a multiple of 7 and yz must be multiple of 10.
Consider the following cases,
- x = 7, y = 2, z = 5 --> (x + y + z) = 14
x = 14, y = 2, z = 10 --> (x + y + z) = 26
The correct answer is A.
