Verified answer

Step-by-step explanation:

Let their income be x and expenditure be y.

As income =5x

B s income =4x

As expenditure =3yB ′ s expenditure =2y

Save money =Rs.1600

⇒ Income - expenditure = saves

⇒ 5x−3y=1600 ---- ( 1 )

⇒ 4x−2y=1600 --- ( 2 )

Multiply equation ( 1 ) by 2 and equation ( 2 ) by 3, we get,

⇒ 10x−6y=3200 ---- ( 3 )

⇒ 12x−6y=4800 ---- ( 4 )

By subtracting ( 4 ) from ( 1 ) we get,

⇒ x=800

⇒ Income of A=5x=5×800=Rs.4000

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[tex]\red\bigstar\:Explanation [/tex]

Let their income be x and expenditure be y.

A′s income =5x

B′s income =4x

A′s expenditure =3y

B′s expenditure =2y

Save money =Rs.1600

⇒  Income - expenditure = saves

⇒ 5x−3y=1600     ---- ( 1 )

⇒  4x−2y=1600    --- ( 2 )

Multiply equation ( 1 ) by 2 and equation ( 2 ) by 3, we get,

⇒  10x−6y=3200      ---- ( 3 )

⇒  12x−6y=4800      ---- ( 4 )

By subtracting ( 4 ) from ( 1 ) we get,

⇒  x=800

⇒  Income of A=5x=5×800=Rs.4000

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