MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Summer Clouds moderators

21/08/2017 at 08:48
Answers
2
Follow

. Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90kg, 92kg, 93kg, 94kg, 95kg, 96kg, 97kg, 98kg, 100kg and 101kg. The total weight of the five boys was:
A. 225 kg
B. 230 kg
C. 239 kg
D. 240 kg
E. 250 kg 




    List of answers
  • ...
    Nguyễn Huy Hoàng 21/08/2017 at 15:15

    C, 239 nha

  • ...
    Phan Thanh Tinh Coordinator 21/08/2017 at 10:01

    Let a,b,c,d,e be the weights of 5 boys respectively. We have :

    \(\left(a+b\right)+\left(a+c\right)+\left(a+d\right)+\left(a+e\right)+\left(b+c\right)+\left(b+d\right)+\left(b+e\right)+\left(c+d\right)+\left(c+e\right)+\left(d+e\right)\)

    \(=90+92+93+94+95+96+97+98+100+101\)

    \(\Leftrightarrow4\left(a+b+c+d+e\right)=956\)\(\Rightarrow a+b+c+d+e=239\)

    So, the total weight of 5 boys is 239 kg (C)


Post your answer

Please help Summer Clouds to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM