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
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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