Question

When the positive integer n is divided by 45, the remainder is 18.

A) n=18
B) n=27
C) n=45
D) n=63

Answer 1

Option D, n = 63, is the correct answer as it matches the condition that when divided by 45 the remainder is 18.

Step-by-step explanation:

When a positive integer n is divided by 45 and the remainder is 18, that means n is of the form n = 45k + 18, where k is an integer. So, looking at the options provided, we need to check which one can be expressed as 45 times an integer plus 18. Only option D satisfies this condition: n = 63 is the correct answer because when we divide 63 by 45, we get a quotient of 1 and a remainder of 18, hence 63 = 45 × 1 + 18.

Here's a quick calculation for option D:

1. Divide 63 by 45 to find the quotient and remainder.
2. 63 ÷ 45 gives us 1 as the quotient and 18 as the remainder.
3. So, 63 = 45 × 1 + 18, which confirms the condition of the given problem statement.