Question 1
David is twice as old as Aurora was 8 years ago. The difference between their ages is 4 years. How old is David?
Let Aurora's current age = x
Then 8 years ago, Aurora was (x - 8)
David = 2(x - 8) = 2x - 16
Difference: David - x = (2x - 16) - x = x - 16
Given difference = 4
So x - 16 = 4 → x = 20 = 20
Then David = 2(20 - 8) = 24
Then 8 years ago, Aurora was (x - 8)
David = 2(x - 8) = 2x - 16
Difference: David - x = (2x - 16) - x = x - 16
Given difference = 4
So x - 16 = 4 → x = 20 = 20
Then David = 2(20 - 8) = 24