Question

The Whole number y is exactly three times the whole number x. The whole number z is the sum of x and y. Which number can't be the value of z?

A) 9
B) 15
C) 314
D) 45

Answer 1

The number that cannot be the value of z, given that y is three times x and z is the sum of x and y, is 15, because it is not divisible by 4 which is required for z.

Step-by-step explanation:

The question deals with a mathematical relationship involving three whole numbers, x, y, and z, where y is exactly three times x and z is the sum of x and y. To find which number can't be the value of z, we need to look at the options and determine if they can be expressed as the sum of a number and three times that number.

• Option A: If x is 2, then y is 6, and z would be 8.
• Option B: If x is 3, then y is 9, and z would be 12.
• Option C: Since z is the sum of x and three times x (3x), z must be divisible by 4. 15 is not divisible by 4, hence it can't be the value of z.
• Option D: If x is 9, then y is 27, and z would be 36.

Therefore, the correct option that cannot be the value of z is Option B, 15.