What is the largest of the angles of a triangle if the difference between it and the mean angle

What is the largest of the angles of a triangle if the difference between it and the mean angle is 24 degrees and between the mean and the smallest angle of 18 degrees?

In order to solve this geometric problem, you need to write an equation.
Let x ° be the smallest angle in the triangle. Then (x + 18) ° is the average angle, and the largest angle in the triangle is ((x + 18) + 24) °. Since the sum of all angles in a triangle is 180 °, we have the following equation:
x + x + 18 + x + 18 + 24 = 180;
Simplify the resulting equation:
x + x + x = 180 – 18 – 18 – 24;
3x = 180 – 60;
3x = 120;
x = 120: 3;
x = 40 ° – the smallest angle:
40 + 18 + 24 = 82 ° – larger angle;
Answer: 82 °.