Question

The ratio of ages of Raj and Ram is 9:6. The ratio of ages of Ram and Amar is 6:3. Then find the ratio of ages of Raj, Ram and Amar. ​

Answer 1

Answer:

raj=9x

ram=6x

amar=3x

9x+6x+3x=18

18x=18

x=1

raj=9yrs

ram=6yrs

amar=3yrs

Answer 2

Answer:

Raj : Ram : Amar = 3 : 2 : 1

Step-by-step explanation:

We have,

Raj : Ram = 9 : 6

Ram : Amar = 6 : 3

Well, if we look closely they are not in the lowest ratio.

So,

Making them in the lowest ratio,

Raj : Ram = 3 : 2 [By a factor of 3]

Ram : Amar = 2 : 1 [By a factor of 3]

Then,

From the first ratio,

Let Raj's age be 3x and Ram's age be 2x.

Similarly, from the second Ratio,

Let Ram's age be 2y and Amar's age be y.

[I took 'y' because the common factor from the 1st case can't be surely the common factor in the 2nd case.]

But we know that,

The same person can't have two ages,

So,

Both the above Ram's age must be equal,

2x = 2y

x = y

Hence,

The Ratio of Raj : Ram : Amar = 3x : 2x : y

OR

The Ratio of Raj : Ram : Amar = 3x : 2y : y

But since,

x = y

They can be converted into terms of x.

So,

The Ratio of Raj : Ram : Amar = 3x : 2x : x

Cancelling the common factor x.

The Ratio of Raj : Ram : Amar = 3 : 2 : 1

Hence,

Raj : Ram : Amar = 3 : 2 : 1

Now, this is an answer purely of reduction and calculation, so please do also refer with your teacher, whether this is the correct solution to our problem. Please do not completely rely on this Answer, check from other sources as well.

Hope it helped and believing you understood it........All the best