The ages of Ramesh and Rashmi are in the ratio $5 : 7$ . If Ramesh was $9$ years older and Rahim $9$ years younger, the age of Ramesh would have been twice the age of Rahim. Find their ages.

Open in App

Solution

$l e t a g e o f R a m e s h = x a n d t h a t o f R a s h m i = y t h e n (\frac{x}{y}) = (\frac{5}{7}) o r x = (\frac{5}{7}) y n o w (x + 9) = 2 (y - 9) x + 9 = 2 y - 18 27 = 2 y - x 27 = 2 y - (\frac{5}{7}) y 27 = y ((\frac{14 - 5}{7})) ∴ y = (\frac{27 \times 7}{9}) = 21 y e a r s ∴ x = (\frac{5}{7}) \times 21 = 15 y e a r s$

Suggest Corrections

Similar questions

The ages of Ashu and Raju are in the ratio 5: 7. If Ashu was 9 years older and Raju 9 years younger, the age of Ashu would have been twice the age of Raju. Find their present ages.

Q. The ages of Mohan and Sohan are in the ratio

5 : 7

. If Mohan was

9

years older and Sohan

9

years younger, then their ages would be in the ratio

2 : 1

. Find their present ages.

Q. The ratio of the present ages of Rahim and his wife is 4:3. After 4 years the ratio of their ages will be 9:7. Then find the present age of Rahim.

Q. The age of Mr. Ramesh is

4

times the age of his son. After

10

years, Mr. Ramesh will be only twice the age of his son. Find the present age of Mr. Ramesh's son?

Q. The ratio of the present ages of Rahim and his wife is 4:3.After 4 years, the ratio of their ages will be 9:7. Then find the required equation.

Join BYJU'S Learning Program

The ages of Ramesh and Rashmi are in the ratio 5:7. If Ramesh was 9 years older and Rahim 9 years younger, the age of Ramesh would have been twice the age of Rahim. Find their ages.

letageofRamesh=xandthatofRashmi=ythen(xy)=(57)orx=(57)ynow(x+9)=2(y−9)x+9=2y−1827=2y−x27=2y−(57)y27=y((14−57))∴y=(27×79)=21years∴x=(57)×21=15years

The ages of Ramesh and Rashmi are in the ratio $5 : 7$ . If Ramesh was $9$ years older and Rahim $9$ years younger, the age of Ramesh would have been twice the age of Rahim. Find their ages.