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
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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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