A certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options1311591
Question
A certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?
Options:
- 13
- 15
- 9
- 1
Solution
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.
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