Question

Q.2.
If b: (a+c)=4:9 and c: (a+b) = 3 : 7 then find the ratio of a :(b+c)
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Answer 1

Answer:

51 : 79

Step-by-step explanation:

= > b : ( a + c ) = 4:9

= > 9b = 4( a + c )

= > 9b = 4( a + c )

= > 3b = (4/3) ( a + c ) ... (1)

= > c : ( a + b ) = 3:7

= > 7c = 3( a + b )

= > 7c = 3a + 3b

= > 7c = 3a + (4/3)( a + c ) { from (1)}

= > 7c = (9a + 4a + 4c)/3

= > 21c = 13a + 4c

= > 17c = 13a

= > (17/13) c = a

Substituting the value of a in (1)-

= > 3b = (4/3) [ (17/13)c + c ]

= > b = (4/9) [ (17c + 13c )/13 ]

= > b = (4/9*13) ( 30c )

= > b = (40/39) c

Hence,

= > a : ( b + c )

= > (17/13)c : ( 40c/39 + c )

= > ( 17c/13 ) : ( 40c + 39c)/39

= > 39( 17c/13) : ( 79c)

= > 3(17): 79

= > 51 : 79