If the sum of two numbers is a multiple of 10, which of the following can be inf

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Question: If the sum of two numbers is a multiple of 10, which of the following can be inferred?

Options:

Correct Answer: At least one number is even.

Solution:

For the sum to be a multiple of 10, at least one of the numbers must be even.

If the sum of two numbers is a multiple of 10, which of the following can be inferred?

If the sum of two numbers is a multiple of 10, which of the following can be inferred?

Step 1: Understand what a multiple of 10 is. A multiple of 10 is any number that can be divided by 10 without a remainder, like 10, 20, 30, etc.
Step 2: Recognize that numbers can be either even or odd. Even numbers are divisible by 2, while odd numbers are not.
Step 3: Consider the possible combinations of two numbers (even and odd) and their sums.
Step 4: If both numbers are odd, their sum will be even (odd + odd = even). However, an even number can only be a multiple of 10 if it ends in 0.
Step 5: If one number is even and the other is odd, their sum will be odd (even + odd = odd). An odd number cannot be a multiple of 10.
Step 6: If both numbers are even, their sum will also be even (even + even = even), which can be a multiple of 10.
Step 7: Conclude that for the sum of two numbers to be a multiple of 10, at least one of the numbers must be even.

Properties of Even and Odd Numbers – The sum of two even numbers or two odd numbers is even, while the sum of an even and an odd number is odd.
Multiples of 10 – A number is a multiple of 10 if it ends in 0, which can be achieved by the sum of two numbers with specific parity.