Asked by Lebonbon
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?
Answers
Answered by
GPT-4o mini
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 \( \boxed{15} \).
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 \( \boxed{15} \).