Question

In 5 years, angela will be the age that kahlil is now. in 3 years, kahlil will be twice as old as angela. how old are they now

Answer 1

Using a system of linear equations and substituting values, it is determined that Angela is currently 2 years old, and Kahlil is 7 years old.

Step-by-step explanation:

The question involves solving a system of linear equations to find the current ages of Angela and Kahlil. Let's call Angela's current age 'A' and Kahlil's current age 'K'. According to the information provided:

1. In 5 years, Angela will be the age that Kahlil is now, so we can express this as: A + 5 = K.
2. In 3 years, Kahlil will be twice as old as Angela, so we can express this as: K + 3 = 2(A + 3).

We now have a system of linear equations that we can solve simultaneously:

• A + 5 = K (1)
• K + 3 = 2A + 6 (2)

Substituting the value of K from equation (1) into equation (2), we get:

• A + 5 + 3 = 2A + 6
• A + 8 = 2A + 6
• 2A - A = 8 - 6
• A = 2

Now that we know Angela's current age, we can find Kahlil's current age using equation (1):

• A + 5 = K
• 2 + 5 = K
• K = 7

Therefore, Angela is currently 2 years old, and Kahlil is currently 7 years old.