NumbersWhen a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 isOptions4368

To solve this problem, we can use the concept of remainders.

Let's assume the number we are looking for is represented by "x".

According to the given information, when x is divided by 24, the remainder is 16. This can be written as:

x ≡ 16 (mod 24)

Similarly, when x is divided by 12, the remainder is also 16. This can be written as:

x ≡ 16 (mod 12)

To find the value of x, we need to find a number that satisfies both congruences.

To do this, we can find the least common multiple (LCM) of 24 and 12, which is 24.

Now, we can add or subtract multiples of the LCM from the given remainder until we find a number that satisfies both congruences.

Let's start with the remainder 16:

16 + 24 = 40 16 - 24 = -8

Since -8 is negative, we can add the LCM to it:

-8 + 24 = 16

Therefore, x = 16 satisfies both congruences.

So, the answer is 16.