Question

In five years, Angela will be the age that Khali is now. In three years, Khali will be twice as old as Angela. How old are they now?

a) Angela: 5 years, Khali: 10 years
b) Angela: 10 years, Khali: 5 years
c) Angela: 3 years, Khali: 6 years
d) Angela: 6 years, Khali: 3 years

Answer 1

After setting up and solving a system of equations based on the given information, we find that Angela is currently 2 years old, and Khali is currently 7 years old. This answer does not match any of the provided options, indicating a potential error in the question or the options.

Step-by-step explanation:

Let's define Angela's current age as A and Khali's current age as K. The problem gives us two conditions to work with:

1. In five years, Angela will be the age that Khali is now. This can be represented by the equation: A + 5 = K.
2. In three years, Khali will be twice as old as Angela. This can be represented by the equation: K + 3 = 2(A + 3).

Now, let's solve the system of equations from the conditions given:

1. From the first condition, A + 5 = K.
2. Substitute K from the first condition into the second equation: (A + 5) + 3 = 2(A + 3).
3. Simplify the second equation: A + 8 = 2A + 6.
4. Solve for A: A = 2.
5. Substitute A back into the first equation to find K: 2 + 5 = K, thus K = 7.

Therefore, Angela's current age is 2 years old, and Khali's current age is 7 years old. However, these ages are not present in the options provided, indicating a possible mistake in the question or in the options available. The correct answer is not listed among the options a, b, c, or d.