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x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product xyz?
- a)(x - 1)yz
- b)x(y - 1)z
- c)xy(z - 1)
- d)x(y + 1)z
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
x, y and z are three positive integers such that x > y > z. Whic...
The expressions in the four options can be expanded as
xyz-yz; xyz-xz; xyz-xy and xyz+xz
The closest value to xyz would be xyz-yz, as yz is the least value among yz, xz and xy.
Option a) is the correct answer.
Most Upvoted Answer
x, y and z are three positive integers such that x > y > z. Whic...
Explanation:
Given:
x, y, and z are three positive integers such that x > y > z.
To find:
The expression closest to the product xyz.
Solution:
Approach:
To find the closest expression to the product xyz, we need to consider the given condition x > y > z.
- We know that x is the largest among x, y, and z. So, the closest expression to xyz would be when we replace x with (x - 1) to get a smaller value.
- This is because if we replace x with (x - 1), the product xyz will decrease, making it closer to the actual value.
Calculations:
Let's consider option A: (x - 1)yz
- If we substitute x with (x - 1), the expression becomes: (x - 1)yz
- The product of this expression is: (x - 1) * y * z
- This expression will be closest to the product xyz because we are replacing the largest value x with (x - 1), making the product smaller.
Therefore, option A: (x - 1)yz is the closest to the product xyz.
Given:
x, y, and z are three positive integers such that x > y > z.
To find:
The expression closest to the product xyz.
Solution:
Approach:
To find the closest expression to the product xyz, we need to consider the given condition x > y > z.
- We know that x is the largest among x, y, and z. So, the closest expression to xyz would be when we replace x with (x - 1) to get a smaller value.
- This is because if we replace x with (x - 1), the product xyz will decrease, making it closer to the actual value.
Calculations:
Let's consider option A: (x - 1)yz
- If we substitute x with (x - 1), the expression becomes: (x - 1)yz
- The product of this expression is: (x - 1) * y * z
- This expression will be closest to the product xyz because we are replacing the largest value x with (x - 1), making the product smaller.
Therefore, option A: (x - 1)yz is the closest to the product xyz.
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