Question

Egg + egg + egg = 30
Rabbit + duck + egg = 20
Duck + egg - Rabbit = 6
Egg + Rabbit × Duck = ?

Answer 1

Step-by-step explanation:

= > egg + egg + egg = 30

= > 3 egg = 30

= > egg = 30 / 3

= > egg = 10

= > rabbit + duck + egg = 20

= > rabbit + duck + 10 = 20

= > rabbit + duck = 10 ... ( 1 )

= > duck + egg - rabbit = 6

= > duck - rabbit = 6 - 10

= > duck - rabbit = - 4 ...( 2 )

Adding ( 2 ) and ( 1 ) :

= > rabbit + duck + duck - rabbit = 10 - 4

= > 2 duck = 6

= > duck = 3

So,

rabbit + duck = 10

rabbit + 3 = 10

rabbit = 7

Hence,

egg + rabbit x duck

10 + 7 x 3

10 + 21

31

Answer 2

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Let us take

egg = x

Rabbit = y

duck = z

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then,

we will have equations as,

egg+egg+egg=30

x + x + x = 30

3 x = 30

$\boxed{\tt x = 10}$

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rabbit+duck+egg=20

y + z + x = 20

(putting value of x we will get)

y + z + 10  = 20

y + z = 10

that will give us

y = 10 - z -------eqn(1)

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duck+egg-rabbit = 6

z + x - y = 6

(putting value of x)

z + 10 - y = 6

z - y = - 4

using eqn(1)

z - (10-z) = -4

z - 10 + z = -4

2 z = 6

$\boxed{\tt z = 3}$

substituting value of z in eqn(1)

y = 10 - z

y = 10 - 3

$\boxed{\tt y = 7}$

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Now,

we have to find

egg + rabbit * duck = ?

x + y * z = ?

(putting values of x, y, z)

x + y * z

= 10 + 7 * 3

= 10 + 21

= 31

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Therefore,

$\boxed{\tt Egg+Rabbit*Duck=31}$

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