# If cat+rabbit=10, dog+rabbit=20, cat+dog=24 than whats the weight of each with explain with formula

2
by dolphy1987
hey is this question from the PSA paper of last year?
no idea
i think it is
hmm kk

2014-06-22T19:54:20+05:30
Let weight of cat = a
weight of rabbit = b
weight of dog = c
a+b = 10 -------------(1)
b+c = 20 -----------(2)
c+a = 24  ---------------(3)
put a = 10 - b in (3)
c+10-b = 24
c-b = 14 --------(4)
(2)+(4)
2c = 34
c = 17    weight of dog
b = 3    weight of rabbit
a = 7    weight of cat
2014-06-22T19:54:23+05:30
Let the wait of cat,rabbit and dog be x,y,z respectively
acc. to the given conditions;
x+y=10
therefore, x=10-y------(i)
z+y=20-----(ii)
x+z=24-------(iii)
therefore,substituting eqn(i) in eqn(iii);
10-y+z=24
therefore'
z-y=24-10
z-y=14-----(iv)
Adding (ii) and (iv);
z+y=20
z-y=14
----------------
2z=34
therefore z=34/2=17
therefore z=17-------(v)
substituting eqn (v)in eqn(ii);
x+z=24
therefore,
x+17=24
therefore,
x=24-17
x=7--------(vi)
substituting eqn(vi)in eqn(i);
x+y=10
7+y=10
y=10-7
y=3

weight of dog is 17 kg;
weight of cat is 7 kg ;
weight of rabbit is 3 kg.

hope i helped u:)

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plzzzz mark as best
its the correct answer tithi