Question : The average weight of A, B, C and D is 33 kg. C is 12 kg lighter than A, while B is 6 kg heavier than C. D's weight is 10 kg less than that of C. What is the average weight of A and D?
Option 1: 34 kg
Option 2: 33 kg
Option 3: 35 kg
Option 4: 32 kg
Correct Answer: 32 kg
Solution :
Average weight of A, B, C, and D = 33 kg
C is 12 kg lighter than A.
B is 6 kg heavier than C.
D is 10 kg less than that of C.
Let the value of A be $x$ kg.
Weight of C $= x - 12$ kg
Weight of B $= x - 12 + 6 = x - 6$ kg
Weight of D $= x -12 - 10 = x - 22$ kg
Average = $\frac{\text{Sum of values}}{\text{Number of values}}$
So, the average of A, B, C, and D $= \frac{x+x-12+x-6+x-22}{4} = \frac{4\text{x}-40}{4} = x -10$
Now, $x - 10 = 33$
⇒ $x = 33 + 10 = 43$ kg
Then, the weight of A = 43 kg
Weight of D $= x - 22 = 43 - 22 = 21$ kg
So, the average weight of A and D $= \frac{43+21}{2} = \frac{64}{2} = 32$ kg
$\therefore$ The average weight of A and D is 32 kg.
Hence, the correct answer is 32 kg.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
