Cameron is 14 years old. She and her aunt are playing math games. Her aunt says, “If you multiply the difference between our ages by 4, you get 100.” How old is Cameron’s aunt?
(A-14) * 4 = 100
A - 14 = 25
add 14 to both sides
A - 14 + 14 = 25 + 14
A = 39
To solve this problem, we need to set up an equation based on the information given.
Let's denote Cameron's age as C and her aunt's age as A. According to the problem, the difference between their ages multiplied by 4 is equal to 100.
Mathematically, we can represent this as:
4 * (C - A) = 100
Now, let's substitute C with 14:
4 * (14 - A) = 100
Simplifying further:
56 - 4A = 100
To isolate the term with A, we subtract 56 from both sides:
56 - 56 - 4A = 100 - 56
-4A = 44
To get the value of A, we divide both sides by -4:
-4A / -4 = 44 / -4
A = -11
Since ages cannot be negative, we discard this solution. Thus, based on the given information, there is no possible age for Cameron's aunt that satisfies the condition.