# The sum of the digits of a two-digit number is 7. When the digit are reversed,the numbers is increase by 27. How do you find the numbers?

##### 2 Answers

The digits are

#### Explanation:

If we let the digits be

then the possible numbers composed of those two digits are

We are told

[1]

and (assuming

[2]

[2] simplifies into

[3]

or

[4]

Adding [1] and [4], we get

[5]

which implies

[6]

Substituting

we see that

[7]

**The two digit number is**

#### Explanation:

Let tens digit and units digit of the number be

The two digit number is

the two digit number becomes

Hence the two digit number is