Question

when x is divided by 5, the remainder is 4. when x is divided by 9, the remainder is 0. which of the following is a possible value for x

Answer 1

I am dumb founded when it comes to the question. i know the answer is 144 i just need to know the steps that would help me to get 144.

Answer 2

144? Why?

Answer 3

What about 9?

9 / 5 = 1 r 4
9 / 9 = 1 r 0

Answer 4

You already have hint to begin with; x divided by 9, the remainder is 0.

This means x is multiple of 9.

Answer 5

from what are given result

x/5 =a+4
x/9 =b+0
<< which of the following is a possible value for x >> where are ?

why 144 is right ?

144/5 = 28 so 144 divided by 5 de remainder is 4
10
---
44
40
----
- 4

144/9 = 16 so 144 divided by 5 the remainder is zero
9
---
- 54
54
----
0 0

so from these above wrote result that 144 satisfie the properties of x what are given in the text of your exercise

x=144 is the correct answer sure

Answer 6

9 is also correct. So why would we aim for bigger number?

Answer 7

I guess 9 wasn't one of the choices.

Answer 8

it is divisible by 9
so let number be of of the type 9t where t is an integer
now 9t gives remainder 4 when divided by 5
so 9t-4 is divisible by 5
when t=1,number 9
when t=6,number=54
when t=11,number=99
when t=16,number=144
..............................................
add every time 5 to the value of t you get a number which satisfy both the conditions.

Answer 9

The question includes "which of the following is a possible value for x"
That makes me think you were given choices to pick from.
9 is an answer to the plain question, and so is 54, but if in the choices only 144 works, then that is the answer.
When you post a question with choices, you need to post the choices too.