# The 3rd number is the sum of the first and the second number. The first number is one more than the third number. How do you find the 3 numbers?

##### 1 Answer

Oct 17, 2015

#### Answer:

These conditions are insufficient to determine a single solution.

#a = "whatever you like"#

#b = -1#

#c = a - 1#

#### Explanation:

Let's call the three numbers

We are given:

#c = a + b#

#a = c + 1#

Using the first equation, we can substitute

#a = c + 1 = (a + b) + 1 = a + b + 1#

Then subtract

#0 = b + 1#

Subtract

#-1 = b#

That is:

The first equation now becomes:

#c = a + (-1) = a - 1#

Add

#c + 1 = a#

This is essentially the same as the second equation.

There are not enough constraints to determine

You can choose any value you like for