Final answer:
Raj's current age is 24, his father's current age is 52, and his mother's current age is 46. The sum of his parents' ages now is 98 years.
Step-by-step explanation:
Let's begin by determining Raj's current age since we know he will be 32 years old in 8 years. This implies that Raj is currently 32 - 8 = 24 years old.
Now, let's consider his father's age. In 4 years, Raj will be 24 + 4 = 28 years old, and at that time, his father will be double Raj's age, hence, his father will be 2 * 28 = 56 years old in 4 years. So, his father's current age is 56 - 4 = 52 years old.
Now, let's find Raj's mother's age. Two years ago, Raj was 24 - 2 = 22 years old, and his mother was twice his age, which means she was 2 * 22 = 44 years old at that time. Therefore, Raj's mother's current age is 44 + 2 = 46 years old.
Finally, the sum of his parents' ages now can be calculated by adding his father's current age to his mother's current age, which is 52 + 46 = 98 years old.