Question

The age of Anjali is five years more than Bharathi. Five years ago,
the ratio of their ages was 3:2. Find their present ages. What will be
their ages after twelve years?

Answer 1

Answer:

Present ages of Anjali =2x=2×5=10 years

• and age of   bharathi=3x=3×5=15 years

Step-by-step:

Ratio of the present ages of Anjali and bharathi is =2:3

Let age of Anjali =2x

and age of bharathi =3x

5 years hence,

Age of Anjali =2x+5

and age of bharathi  =3x+5

3x+5

2x+5

​

=  

4

3

​

 

9x+15=8x+2

9x−8x=20−15

Present ages of Anjali =2x=2×5=10 years

• and age of   bharathi=3x=3×5=15 years

Answer 2

Let the present age of Bharathi be = x yrs. And, the present age of Anjali be = x + 5 yrs.

According to the Question,

Anjali's age before 5 yrs. = x + 5 – 5 = x yrs. And, Bharathi's age before 5 yrs. = x – 5 yrs.

Now, Anjali's : Bharathi's age ratio = 3 : 2, So

• 3/2 = x/( x – 5 )
• 3( x – 5 ) = 2x
• 3x – 15 = 2x
• 3x – 2x = 15
• x = 15

So, the present age of Bharathi is = x = 15 yrs. And, the present age of Anjali is = x + 5 = 15 + 5 = 20 yrs.

Now, the ages after twelve yrs. The age of Bharathi after 12 yrs = x + 12 = 15 + 12 = 27 yrs. And, The age of Anjali after 12 yrs = ( x + 5 ) + 12 = 20 + 12 = 32 yrs.