Answer :
That bill age is currently 46 years old, and the ted age is currently 14 years old, according the provided statement.
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Equations:
B+2 = 3(t+2), B+t = 60, B-t = 4, and B+t = 60
Solve for "t" by subtracting: 4t = 56 t Equals 14 (Ted's current age).
Calculate "b" as follows: b + t = 60 b + 14 = 60 b Equals 46 (Bill's current age).
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Final answer:
To find the ages of Bill and Ted, we set up two algebraic equations based on the given information about their current and future ages, then solve those equations simultaneously.
Explanation:
The question presents a classic algebra problem involving the ages of two individuals, Bill and Ted. To solve this problem, we can set up equations based on the information provided, and then we use algebraic methods to find the age of Bill and Ted.
Let Bill's current age be B and Ted's current age be T. According to the question, the sum of their ages is 60, which gives us the first equation:
B + T = 60
In two years, Bill's age will be B + 2 and Ted's age will be T + 2. At that time, Bill will be three times as old as Ted, leading to the second equation:
B + 2 = 3(T + 2)
Now, we solve these two equations simultaneously to determine Bill and Ted's current ages.
