Answer:
Joe's present age = 36 years
Vika's present age = 20 years
Explanation:
Let us represent the present age of
Joe = x
Vika = y
Joe's age exceeds by Vika's age by 16 years.
x = y + 16...... Equation 1
Four years ago, Joe was twice as old as Vika.
x - 4 = 2(y - 4)
x - 4 = 2y - 8........ Equation 2
We substitute y + 16 for x
y + 16 - 4 = 2y - 8
Collect like terms
16 - 4 + 8 = 2y - y
y = 20 years
We solve for x
x = y + 16...... Equation 1
x = 20 + 16
x = 36 years
Therefore, Joe's present age = 36 years
Vika's present age = 20 years