Answer:
x = 1
Detailed explanation:
Hi there! Our task is to find the number.
We're given the following pieces of information:
- four times a number increased by six is ten
We need to find the number. Let's start!

4 times that number = 4x, increased by 6 = 4x + 6, is 10 = 4x + 6 = 10.
As a result, we have an equation that we're going to solve to find x.

Therefore, x = 1.