Question

Divide rs 1540 among a,b,c so that a shall receive 2/9 as much s b and c together, and b 3/11 of what a and c together do. Fidn the share of a,b and c

Answer 1

Answer:

A = Rs 280, B = Rs 330 and C = Rs 930

Step-by-step explanation:

Hi,

Let 'x' be the share of a,

Let 'y' be the  share of b, and

Let 'z' be the share of c.

Given that x + y + z = 1540,---(*0

Also given that

x = 2/9(y + z)

=> y + z = 9x/2

Using (*), we get x + 9x/2 = 1540

=> 11x/2 = 1540

=> x = Rs 280

Given thaat y = 3/11(x + z)

=> x + z = 11y/3

Using (*), we get y + 11y/3 = 1540

=> 14y/3 = 1540

=> y = Rs 330.

Now, using (*),

we get 280 + 330 + z = 1540

=> 610 + z = 1540

=> z = Rs 930.

Hope, it helped !

Answer 2

Answer:

Hi,

Let 'x' be the share of a,

Let 'y' be the  share of b, and

Let 'z' be the share of c.

Given that x + y + z = 1540,---(*0

Also given that

x = 2/9(y + z)

=> y + z = 9x/2

Using (*), we get x + 9x/2 = 1540

=> 11x/2 = 1540

=> x = Rs 280

Given thaat y = 3/11(x + z)

=> x + z = 11y/3

Using (*), we get y + 11y/3 = 1540

=> 14y/3 = 1540

=> y = Rs 330.

Now, using (*),

we get 280 + 330 + z = 1540

=> 610 + z = 1540

=> z = Rs 930.

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