# The sum of the digits of a two number is 8. The number exceeds 17 times the unit’s digit by 2. How do you find the number?

##### 2 Answers

53

#### Explanation:

Number with two digits can be expressed as :

We know that the sum of the two digits is 8 so:

The number is 2 more than 17 times the unit digit. We know that the number is expressed as

Substituting:

#### Explanation:

Let the unit digit be

So the number is

So we get

or

or

Dividing both the sides by 2 we get

Adding up we get

or

or

or

or

By putting the value

we get

or

or

Hence the number is