A number is divisible by 9 if the sum of its digits is divisible by 9, which of the following numbers is divisible by 45?
A. 63,345
B. 72,365
C. 99,999
D. 72,144
E. 98,145​



Answer :

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.