Question

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

a) Angela is 3 years old, and Khalil is 6 years old.

b) Angela is 5 years old, and Khalil is 10 years old.

c) Angela is 7 years old, and Khalil is 14 years old.

d) Angela is 10 years old, and Khalil is 13 years old.

Answer 1

Angela is currently 9 years old and Khalil is currently 4 years old.

Step-by-step explanation:

Let's assume Angela's current age is x and Khalil's current age is y.

1. In five years, Angela will be the age that Khalil is now. So, in five years, Angela's age will be y.
2. In three years, Khalil will be twice as old as Angela. So, in three years, Khalil's age will be 2(y + 3).

Equate the two expressions to obtain the value of x.

x + 5 = 2(y + 3)

Simplifying the equation gives:

x + 5 = 2y + 6

x = 2y + 6 - 5

x = 2y + 1

Substitute the value of x in the first equation:

y + 5 = x

y + 5 = 2y + 1

y = 4

So, Khalil is currently 4 years old.

Substitute the value of y in the second equation:

x = 2y + 1

x = 2(4) + 1

x = 9

So, Angela is currently 9 years old.