Four years ago, the ages of Ritu and Reena were in the ratio 5:6 respectively. Eight years from now, the ratio of their respective ages will be 8:9. What is the sum of their ages at present?

# Four years ago, the ages of Ritu and Reena were in the ratio 5:6 respectively. Eight years from now, the ratio of their respective ages will be 8:9. What is the sum of their ages at present?

1. A
52 years
2. B
50 years
3. C
60 years
4. D
62 years

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Let the present age of Ritu and Reena be x and y respectively.
four years ago,
(x−4​)/(y-4)=5​/6

Or, x−24=5y−20
6x−5y=4...............(i)
After eight years,
(x+8)/(y+8)​=8​/9
9x−8y=−8 ................(ii)
from equation (i) and (ii)
we get x=24 and y=28
So, sum of their ages at present =(24+28)
= 52 years.

So, Option 1 is correct.

## Related content

 Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)