BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . 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:

A. 3
B. 5
C. 7
D. 11

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

According to the question,
⇒(x + y + z)/3 = 45
⇒x + y + z = 135.....(i)
⇒x = (y + z)/2 + 9
⇒2x−y−z = 18.....(ii)
x + y + z = 135
2x−y−z = 18
−−−−−−−−−−−− 3x = 153
x = 51
From (i)
y + z = 135 - 51 = 84.....(iii)
Also,
⇒(y + z)/2 = y + 2
⇒y + z = 2y + 4
⇒z−y = 4
+ y + z = 84
−y + z = 4
−−−−−−−−−
2z = 88
z = 44
Required difference = 51 - 44 = 7

Senior Officer- 8 Bank Recruitment Test 31-08-2018

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক