Question

Ram is 9 years older than Hari. Three years ago, he was two times as old as Hari was. Find their present age.

Answer 1

Answer:

Ram: 21, Hari: 12

Step-by-step explanation:

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

$r$ = Ram's age at present

$h$ = Hari's age at present

We know that:

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

$r=h+9$

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

$r-3=2(h-3)$

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:

$(h+9)-3=2(h-3)\\h+9-3=2h-6\\h+6=2h-6\\h=12$

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

$r=12+9=21$