41,855 views
4 votes
4 votes
Please, it's urgent.

I am thinking of a number...
I multiply it by 4 and add 136.
I get the same answer if I multiply by 9 and subtract 9.
What is my number?

User Rlperez
by
2.9k points

1 Answer

3 votes
3 votes

Start from a number x.

If you multiply it by 4 you get 4x.

Then, you add 136 to get 4x+136.

On the other hand, if you start with the same number and multiply it by 9, you get 9x.

Subtract 9 and you get 9x-9.

These two procedures get the same result, so we have


4x+136=9x-9

Subtract 4x from both sides to get


136=5x-9

Add 9 to both sides to get


145=5x

Divide both sides by 5 to get


x=(145)/(5)=29

User SathOkh
by
3.1k points