Question

6. If A: B=5 : 7 and B: C = 6:11, then A:B:C=?
(a) 30:42:55 (b) 30:42: 77 (c) 35 : 49 : 66​

Answer 1

Answer:

b) 30 : 42:77

Step-by-step explanation:

A : B = 5 : 7 AND B : C = 6:11.

LCM OF 7 AND 6 IS 42.

MULTIPLYING THE RATIOS BOTH THE SIDES WITH THE NUMBER THAT WILL MAKE THE LCM AS -

IN A : B = 5 AND 7 BOTH WILL BE MULTIPLIED BY 6

AND IN B : C BOTH WILL BE MULTIPLIED BY 7

SO,

A : B = 5*6:7*6. B : C = 6*7: 11*7.

A : B = 30 : 42. B : C = 42 :77.

AS B IS SAME BOTH SIDES ,

A : B : C = 30 : 42 :77.