Question

f A : B = 7 : 9 and B : C = 6 : 7 then A : C is


a) 2 : 3 b) 3 : 2 c) 1 : 3 d) 2 : ​

Answer 1

Answer:

2:3

Step-by-step explanation:

the value of b in both cases is 9 and 6

l.c.m of 9 and 6 is 54

multiplying a:b with 6 and b:c with 9

we get

a:b=42:54

b:c=54:63

a:c=42:63

a:b=2:3

Answer 2

Correct question :

If A : B = 7 : 9 and B : C = 6 : 7 then A : C is = ?

Solution :

$\frac{A}{C} = \frac{A}{B} \times \frac{B}{C} \\ \\ = \frac{7}{9} \times \frac{6}{7} \\ \\ = \frac{2}{3} \\ \\ \ = A:C = 2:3,Ans.$