Question

a and b each have a certain number of marbles a says to b if you give 30 to me I will have twice as many as left with you b replies if you give me 10, I will have thrices as many as left with you how many marbles does each have​

Answer 1

Let the number of mangoes A has, be x

and the number of mangoes B has , be y .

∴30+x=2(y−30)⟶(i) ,as A says

and , 10+y=3(x−10)⟶(ii) ,as B says

On simplification ,

x−2y+90=0⟶(iii)

−6x+2y+80=0⟶(iv)

On adding (iii) and (iv),

−5x+170=0

⇒x=34 mangoes.

putting x in (i),

34−2y+90=0

2y=124

y=62 mangoes.

Answer 2

Answer:

x= 34

y= 62

Step-by-step explanation:

Let the number of marbles A has, be x

and the number of marbles B has , be y .

∴30+x=2(y−30)⟶(i) ,as A says

and , 10+y=3(x−10)⟶(ii) ,as B says 

On simplification ,

x−2y+90=0⟶(iii)

−6x+2y+80=0⟶(iv)

On adding (iii) and (iv),

−5x+170=0

⇒x=34 marbles.

putting x in (i),

 34−2y+90=0

2y=124

y=62 marbles.