The number, when divided by 45, leaves a remainder of 31. This means the number is in the form of 45n + 31, where n is the quotient.

Now, we need to find the remainder when this number is divided by 15.

We can rewrite the number as follows:

45n + 31 = 15(3n) + 31

This shows that the number is a multiple of 15 plus an extra 31.

When we divide 31 by 15, we get a quotient of 2 and a remainder of 1.

Therefore, the remainder when the same number is divided by 15 is 1.

Question

The number, when divided by 45, leaves a remainder of 31. This means the number is in the form of 45n + 31, where n is the quotient.

Now, we need to find the remainder when this number is divided by 15.

We can rewrite the number as follows:

45n + 31 = 15(3n) + 31

This shows that the number is a multiple of 15 plus an extra 31.

When we divide 31 by 15, we get a quotient of 2 and a remainder of 1.

Therefore, the remainder when the same number is divided by 15 is 1.

Knowee AI · Accepted Answer

The number, when divided by 45, leaves a remainder of 31. This means the number is in the form of 45n + 31, where n is the quotient.

Now, we need to find the remainder when this number is divided by 15.

We can rewrite the number as follows:

45n + 31 = 15(3n) + 31

This shows that the number is a multiple of 15 plus an extra 31.

When we divide 31 by 15, we get a quotient of 2 and a remainder of 1.

Therefore, the remainder when the same number is divided by 15 is 1.

A certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options1311591