# A certain whole number has the property that appending a digit 5 has the effect of adding 3074. What is the original number?

Mar 22, 2017

$341$

#### Explanation:

If the original number is $n$, then the number formed by tacking a $5$ on the end is $10 n + 5$

So:

$10 n + 5 = n + 3074$

Subtract $n + 5$ from both sides to get:

$9 n = 3069$

Divide both sides by $9$ to get:

$n = 341$