skyluke89

Verified answer

Answer:

Ram: 21, Hari: 12

Step-by-step explanation:

To solve the problem, we can use the following notation. We call:

= Ram's age at present

= Hari's age at present

We know that:

- Ram is 9 years older than Hari --> mathematically, this can be written as

- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as

where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago

Substituting eq.(1) into eq.(2), we  find:

So, Hari's age is 12; therefore, Ram's age is