Question

The sum of the digits of a two digits numbers is 9. The number is eual to 5 times the sum of the digits. Find the numbers.
please show the whole process with ALL details and not just the answers.

Answer 1

Answer:

The sum of all the two digit numbers which are multiples of 9 is 585...

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Let the tens digit =x

Let the units digit =y

The sum of digits of a two digit number is 5, so x+y=5

When the digits are reversed, the number is 9 more than the original

since x is your tens digits, its value is 10x.

So, yo have the value of your original number 10x+y.

Now, reverse the digits the number =10y+x

So, equation formed =10y+x=(10x+y)=9

⇒10y−y=10x−x+9

⇒9y=9x+9

⇒9y−9x=9

⇒9(y−x)=9

⇒y−x=9/9=1

y−x=1

y+x=5

_________

2y=6

⇒y=6/2

⇒y=3

Put y in y−x=1

3−x=1

−x=1−3

x=2

∴ The original number is 10x+y=10(2)+3=20+3=23.