Average of 4 numbers is 52. Average of first two numbers is thrice the average of other two numbers. What is the sum of first two numbers?

Correct option is A

Given: Average of 4 numbers is 52. Average of first two numbers is thrice the average of the other two numbers.
Formula Used: Average = Total Sum / Number of items
Solution:
Let the first two numbers be a and b and the last two be c and d.
⇒ (a + b)/2 = 3 × (c + d)/2
⇒ (a + b) = 3 × (c + d)
⇒ a + b + c + d = 4 × 52 = 208
⇒ a + b + (a + b)/3 = 208
⇒ a + b (1 + 1/3) = 208
⇒ a + b × 4/3 = 208 
⇒ a + b = 156