Question 1
Rakshit is twice as old as Prithvi was 6 years ago. The difference between their ages is 32 years. How old is Rakshit?
Let Prithvi's current age = x
Then 6 years ago, Prithvi was (x - 6)
Rakshit = 2(x - 6) = 2x - 12
Difference: Rakshit - x = (2x - 12) - x = x - 12
Given difference = 32
So x - 12 = 32 → x = 44 = 44
Then Rakshit = 2(44 - 6) = 76
Then 6 years ago, Prithvi was (x - 6)
Rakshit = 2(x - 6) = 2x - 12
Difference: Rakshit - x = (2x - 12) - x = x - 12
Given difference = 32
So x - 12 = 32 → x = 44 = 44
Then Rakshit = 2(44 - 6) = 76