Question

The ratio between A & B is 3:5 and that of B and C is 2:3.
Therefore ratio of A, B, C will be :
(a) 6:10:18
(b) 6:12:15
(c) 6 : 10:15
(d) 6:12: 18.​

Answer 1

AnswEr :

★ Given Ratios :

◗ A : B = 3 : 5

◗ B : C = 2 : 3

– Check whether it's making Chain or not i.e. End on B in First Ratio and Start with B in Second Ratio. Yes It's Making Chain.

– Now If Ratios are making Change then we have to make that Common Ratio Equal i.e. B in this case.

– For that we will Multiply then Opposite Terms i.e. by 2 in First Equation and by 5 in Second Equation.

↠ A : B = 3 : 5 ⠀× 2

↠ B : C = 2 : 3 ⠀× 5

_________________________

↠ A : B = 6 : 10

↠ B : C = 10 : 15

– Now we can see that Common Term i.e. B is equal in both Ratios i.e. 10.

∴ Correct Option is C) A : B : C = 6 : 10 : 15.

Answer 2

$\huge\mathfrak\green{Heyaa!!}$

$\huge\mathfrak\red{Answer:-}$

We have been given two ratios:

We have been given two ratios:

☆A:B= 3:5..................(First Equation)

☆B:C= 2:3...................(Second Equation)

These ratios are making a chain. So, We need to make these ratios equal.

So, we multiply by 2 in first equation and by 5 in second equation.

This gives:

☆A:B = 3:5 ×2

☆B:C = 2:3 ×5

Therefore this gives:

☆A:B = 6:10

☆B:C = 10:15

In both of the equations B is the common term

So, correct option is C.

$\huge\mathfrak\purple{Hope it helps!!}$