View Single Post
  #80  
Old Saturday, January 28, 2017
hammadtahir hammadtahir is offline
Senior Member
 
Join Date: Apr 2016
Posts: 117
Thanks: 4
Thanked 7 Times in 7 Posts
hammadtahir is on a distinguished road
Default Complete Solution of 11(b)

Data:
1. Ahmad weighs thrice as much as Ali
Ahmed=3(Ali)

2. Ali weighs five times as much as Akbar
Ali=5(Akbar)

3. Akbar weighs half as much as Nasir
Akbar=1/2(Nasir)

4. Nasir weighs half as much as Shehbaz
Nasir=1/2(Shahbaz)

Solution:

Ahmed=3(Ali)
Ali=5(Akbar)
Akbar=1/2(Nasir)
Nasir=1/2(Shahbaz)

Let
Ahmed=a
Ali=b
Akbar=c
Nasir=d
Shahbaz=e

So,
a = 3b
b = 5c
c = 1/2(d) = 0.5d
d = 1/2(e) = 0.5e

Or,
a=3b
b=5c
d=2c
e=2d

As,
a=3b
and
b=5c

So,
a=3(b)=3(5c)=15c
a=15c

Similarly,
e=2d
and
d=2c

So,
e=2(d)=2(2c)=4c
e=4c

Now,
a=15c
b=5c
d=2c
e=4c

Arranging in descending order

a=15c
b=5c
e=4c
d=2c
c=c

In other words
Ahmed = 15(Akbar)
Ali = 5(Akbar)
Shahbaz = 4(Akbar)
Nasir = 2(Akbar)
Akbar = Akbar

So,
i. Who is the heaviest in weight?
Ahmed

ii. Who is the lightest in weight?
Akbar

iii. Shahbez is lighter in weight than which of the two students?
Ahmed and Ali

iv. Shahbez is heavier in weight than which of the two students?
Nasir and Akbar

v. Show the descending order of weights of the two students?
1. Ahmed
2. Ali
3. Shahbaz
4. Nasir
5. Akbar
Reply With Quote
The Following User Says Thank You to hammadtahir For This Useful Post:
Maheen Chaudhry (Saturday, January 28, 2017)