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: \[ 5M \geq 75 \]

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

Therefore, the youngest Matt can be is \( \boxed{15} \).