Question

Of three numbers, the average of the first and the second number is greater than the average of the second and the third number by 17. what is the difference between the first and the third number?

Answer 1

suppose,
1st no= a
2nd no =b
3rd no = c
by question
( a + b)/2-(b+c)/2=17
a+b-b-c=17*2
a-c=34

Answer 2

The difference between the first and the third number is 34.

Step-by-step explanation:

Let the three numbers are a, b and c.

Given:

• Of three numbers, the average of the first and the second number is greater than the average of the second and the third number by 17.

$\rightarrow \: \frac{ a + b}{2} - ( \frac{b + c}{2} )= 17 \\ \rightarrow \: \frac{ a + b - b - c}{2} = 17 \\ \rightarrow \:a - c = 34$

The difference between the first and the third number is 34.