Question

Find A:B:C when :
(1) A:B = 2 : 5 and B: C = 7:9
(2)A:B=3:4 and B:C=6:11
(3)A:B=1/2:1/3 and B:C=1/4:1/5​

Answer 1

Answer:

1. 14 : 35 : 45
2. 18 : 24 : 44
3. 1/8 : 1/12 : 1/15

Step-by-step explanation:

( 1 )

A : B = 2 : 5 ............. ( a )

B : C = 7 : 9 .............. ( b )

Multiply ( a ) by 7 and ( b ) by 5 to equate

=> A : B = 2*7 : 5*7

=> A : B = 14 : 35

=> B : C = 7*5 : 9*5

=> B : C = 35 : 45

Now B is equal in both the case

.°. A : B : C = 14 : 35 : 45

( 2 )

A : B = 3 : 4 ........... ( c )

B : C = 6 : 11 ........... ( d )

Multiply ( c ) by 6 and ( d ) by 4 to equate

=> A : B = 3*6 : 4*6

=> A : B = 18 : 24

=> B : C = 6*4 : 11*4

=> B : C = 24 : 44

Now B is equal in both the case

.°. A : B : C = 18 : 24 : 44

( 3 )

A : B = 1/2 : 1/3 ........... ( e )

B : C = 1/4 : 1/5 ........... ( f )

Multiply ( e ) by 1/4 and ( f ) by 1/3 to equate

=> A : B = 1/2* 1/4 : 1/3*1/4

=> A ; B = 1/8 : 1/12

=> B : C = 1/4*1/3 : 1/5*1/3

=> B : C = 1/12 : 1/15

Now B is equal in both the case

.°. A : B : C = 1/8 : 1/12 : 1/15