The average weight of Rohan and his three friends is 62kg. If Rohan's weight is 8kg more than the average weight of his three friends, what is Rohan's weight (in kg)?
- A60
- B65
- C68
- D72
Solution & Step-by-step Explanation
Let the average weight of Rohan's three friends be Akg.
Then, the sum of the weights of the three friends is:
Sum of friends’ weights=3A
According to the question, Rohan's weight (W
R
) is:
W
R
=A+8
The average weight of Rohan and his three friends together is given as 62kg. Therefore:
4
W
R
+3A
=62
(A+8)+3A=62×4
4A+8=248
4A=240
A=60
Now, substitute A=60 to find Rohan's weight:
W
R
=A+8=60+8=68kg
Then, the sum of the weights of the three friends is:
Sum of friends’ weights=3A
According to the question, Rohan's weight (W
R
) is:
W
R
=A+8
The average weight of Rohan and his three friends together is given as 62kg. Therefore:
4
W
R
+3A
=62
(A+8)+3A=62×4
4A+8=248
4A=240
A=60
Now, substitute A=60 to find Rohan's weight:
W
R
=A+8=60+8=68kg