Answer:
E. 98,145
Step-by-step explanation:
Pre-Solving
We want to find a number out of the options that is divisible by 45. This means that this number should be divisible by both 9 and 5.
We know that a number is divisible by 9 if the sum of all of its digits is divisible by 9. For example, 36 is divisible by 9 since 3 + 6 = 9.
A number is divisible by 5 if it ends in 5 or 0. Examples include 10, 155, 160, 265, and 405.
Solving
We can immediately eliminate C and D, as they do not end in either 0 or 5.
Now, to add up all of the digits:
6+3+3+4+5 = 21 (not divisible by 9)
7 + 2 + 3+ 6 + 5 = 23 (not divisible by 9)
9+ 8 + 1 + 4 + 5 = 27 (divisible by 9).
So, 98,145 is our answer. It is the only one divisible by both 9 and 5.
