Question

The ratio of A:B=1:3, B:C=2:5, C:D=2:3. Find the ratio of A:B:C:D​

Answer 1

Answer:

Option (b)

Step-by-step explanation:

Given :-

A:B = 1:3

B:C = 2:5

C:D = 2:3

To find:-

Find A:B:C:D ?

Solution :-

Given that

A:B = 1:3

B:C = 2:5

C:D = 2:3

On taking A:B = 1:3 and B:C = 2:5

The terms of B are 3 and 2

The LCM of 3 and 2 = 6

So,

A:B = 1:3

=> A/B = 1/3

=> A/B = (1/3)×(2/2)

=> A/B = 2/6

=> A:B = 2:6

and

B:C = 2:5

=> B/C = 2/5

=> B/C = (2/5)×(3/3)

=> B/C = 6/15

=> B:C = 6:15

Now,

A : B = 2 :6

B : C = 6:15

______________

A : B : C = 2:6 :15

______________

Now,

We have , A:B:C = 2:6:15

C:D = 2:3

The terms of C are 15 and 2

The LCM of 15 and 2 = 30

Now

A:B:C = 2:6:15

=> A :B:C = (2×2):(6×2):(15×2)

=> A:B:C = 4:12:30

And

C:D = 2:3

=> C/D = 2/3

=> C/D = (2/3)×(15/15)

=> C/D = 30/45

=> C:D = 30:45

Now,

A:B:C = 4:12:30

C : D = 30:45

___________________

A:B:C:D = 4:12:30:45

____________________

Answer:-

The ratio of A,B,C,D is A:B:C:D = 4:12:30:45

Used formulae:-

→ a:b can be written as a/b