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Answer:

Let the incomes of Aryan and Babban be 3xand4xrespectively.Similarly, their expenditures would be 5yand7yrespectively.Since each saves Rs. 15000, we get

3x− 5y= 15000...(1)

4x− 7y= 15000...(2)

This can be written in matrix form as

[

3

4

− 5

− 7

] [x

y] =

[

1 5 0 0 0

1 5 0 0 0

]

R

2

R

2

3

4

R

1

We get

⎣

⎢

⎡3

0−5

3

−1

⎦

⎥

⎤[x

y]=

[

1 5 0 0 0

− 5 0 0 0

]

R

2

R

2

−3

We get

[

3

0

−5

1

] [x

y] =

[

1 5 0 0 0

1 5 0 0 0

]

R

1

R

1

5R

2

We get

[

3

0

0

1

] [x

y] =

[

9 0 0 0 0

1 5 0 0 0

]

R

1

R

1

3

1

We get

[

1

0

0

1

] [x

y] =

[

3 0 0 0 0

1 5 0 0 0

]

∴ x= 30000

Their incomes thus become Rs. 90,000and Rs. 120,000respectively.

i hope its help you

111

Kazisho

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