David and Mike are brothers. David is 33 years old today. This is three times as old as Mike was when David was the age that Mike is today. How old is Mike?
10
To find the age of Mike, we can break down the information given in the question into a mathematical equation:
Let's assume Mike's current age is "M."
According to the question, David is 33 years old today. So, David's age is 33.
The question states that David's current age (33) is three times as old as Mike was when David was the age that Mike is today.
Let's break that down:
1) "Mike was when David was the age that Mike is today" - This refers to the age at which Mike was when David was M years old.
2) "David is 33 years old today" - This means that David's current age is 33.
So, when David was M years old, Mike's age was "33 - M."
According to the question, 33 is three times the age Mike was at that time:
33 = 3 × (33 - M)
Now, we can solve this equation to find the age of Mike:
33 = 99 - 3M (distributing 3 to both terms inside the parentheses)
3M = 99 - 33 (subtracting 33 from both sides)
3M = 66 (simplifying)
M = 66 / 3 (dividing both sides by 3)
M = 22
Therefore, Mike is 22 years old.