triple a number is the same as double the number increased by five

Answer 1

Let's use the variable, x, to represent the unknown number.

Then we can write the following expression for "triple the number": 3x

The following expression can be written for " double the number increased by five": 2x + 5

Since these two expressions are equivalent according to the problem, we can create and solve the following equation to find the value of x:

3x = 2x + 5

Now use inverse operations to solve:

3x = 2x + 5

3x - 2x = 2x + 5 - 2x

x = 5

The unknown number is 5