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**Above links Answer is 27**

__Method: 1__**x+y=10... .1**

**x+z=20.... 2**

**y+z=24... .3**

**(1)+(2)+(3) =2x+2y+2z=10+20+24..... 4**

**2x+2y+2z=54**

**divide throughout by 2 to get**

**x+y+z=27**

__Method:2__**Cat=C, Dog=D, Rabbit=R**

**Given that,**

**R+C=10**

**D+R=20**

**C+D=24**

**so**

**2R+C+D=30**

**2R=30-(C+D)**

**but**

**C+D=24**

**so**

**2R=30-24=6**

**R=6/2=3**

**so**

**C=10-3=7**

**D=20-3=17**

**R+C+D=3+7+17=27**

__Method: 3__**X= rabbit; y= cat; z= dog.**

**X+y =10;**

**X+z = 20;**

**y+z = 24;**

**X+y+z =?**

**The equations can be written:**

**X= 10- y;**

**z= 20-X= 10+y;**

**y+z =24;**

**y+10+y= 24**

**y = 7 cat**

**X= 3 rabbit**

**z= 17 dog**

**So,**

**X+y+z = 27 kg.**

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