Matt's father is 4 times as old as matt. If the sum of their ages in NO LESS THAN 75, what is the youngest Matt can be?

Answer 1

Let Matt's age be represented as $M$. Therefore, Matt's father's age will be $4M$.

The sum of their ages can be written as: $$M+4M=5M$$

We know that this sum must be no less than 75, which gives us the inequality: $$5M\ge 75$$

To find the minimum age for Matt, we can divide both sides of the inequality by 5: $$M\ge \frac{75}{5}$$ $$M\ge 15$$

Therefore, the youngest Matt can be is $\boxed{{\displaystyle 15}}$.