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RRB Non Technical Model Papers 10 with solutions
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© examsnet.com
Question : 9
Total: 100
The average of the three numbers x, y and z is 45. x is greater than the average of y and z by 9. The average of y and z is greater than y by 2. Then, the difference of x and z is
3
5
7
11
Validate
Solution:
(3) Since, average of x, y and z is 45 and x is greater than average of y and z by 9,
According to the question,
y
+
z
2
+
9
=
x
Sum of three numbers is
y
+
z
2
+
9
+
y
+
z
=
45
×
3
⇒
y
+
z
=
84
Now, average of y and z is greater than y by 2, we get:
y
+
z
2
=
y
+
2
⇒
z
=
4
Therefore, z = 44 and y = 40
Now,
x
=
40
+
44
2
+
9
=
51
So, difference between x and z is 51 – 44 = 7
© examsnet.com
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