The average of the first and second number is equal to the third number The average of the first and...........

Quantitative Aptitude (SBI-PO) Average

The average of the first and second number is equal to the third number. The average of the first and second number is 9 less than the average of second and third number. What is the difference between first and second number?

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Explanation:

Let the numbers be a, b and c.
According to question,
a + b = 2c …..(1)
=(a+b)/2=(b+c)/2 -9
⇒ a + b = b + c – 18
⇒ c = a + 18 …..(2)
Putting value of c from eq. (2) in eq. (1) we get:
a + b = 2(a + 18)
⇒ b = a + 36