Question : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
Correct Answer: 135
Solution :
The average of 4 numbers is 45.
Total = 4 × 45 = 180
Let the average of the first two numbers be $x$ and the average of the other two numbers $3x$.
According to the question,
$2x+(3x)×2=180$
$⇒8x=180$
$\therefore x = 22.5$
So, the sum of the first two numbers = $6×22.5=135$
Hence, the correct answer is 135.
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