Question : There are two numbers such that the first number is 5 times the second number. If the difference between the first and the second numbers is 120, then what is the average of these two numbers?
Option 1: 90
Option 2: 80
Option 3: 95
Option 4: 85
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Correct Answer: 90
Solution : Given: There are two numbers such that the first number is 5 times the second number. The difference between the first and the second numbers is 120. Let the first number be $x$. Then, the second number = $5x$. According to the question, $5x-x=120$ ⇒ $4x=120$ ⇒ $x=30$ The numbers are $x=30$ and $5x=5\times 30=150$ The average of these two numbers = $\frac{30+150}{2}=\frac{180}{2}=90$ Hence, the correct answer is 90.
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