# Yasmin is thinking of a two-digit number. She adds the two digits and gets 12. She subtracts the two digits and gets 2. What was the two-digit number Yasmin was thinking of?

##### 1 Answer

Mar 8, 2016

57 or 75

#### Explanation:

Two digit number:

Add the digits, gets 12:

1)

Subtracts the digits, gets 2

2)

or

3)

Let's consider equations 1 and 2:

If you add them, you obtain:

So the number is 75.

Let's consider equations 1 and 3:

If you add them you obtain:

So the number is 57.