The ages of Samir and Tanuj are in the ratio, 8:15 years respectively. After 9 years, the ratio of their ages will be 11:18. What is the difference in years between their ages?

24 years

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20 years

No worries! We‘ve got your back. Try BYJU‘S free classes today!

33 years

No worries! We‘ve got your back. Try BYJU‘S free classes today!

21 years

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D 21 years
Let the present ages of Samir and Tanuj be 8x and 15x years respectively.
Difference between their ages =15x -8x =7x
Ratio of ages after 9 years,
$\frac{8 x + 9}{15 x + 9} = \frac{11}{18} \Rightarrow 144 x + 162 = 165 x + 99 \Rightarrow 21 x = 63 \Rightarrow x = 3$
Difference between their ages =7x =21 years

Suggest Corrections

Similar questions

Q. The ages of Nishi and Vinnee are in the ratio of

6 : 5

. After

9

years the ratio of their ages will be

9 : 8

. What is the difference in their ages?

The average age of a woman and her daughter is 46 years. The ratio of their present ages is 15 : 8 respectively. What will be the respective ratio of their ages after 8 years?

Q. Q. Present ages of A and B are in the ratio 7: 9 respectively. After 5 years this ratio becomes 9: 11. Then the difference between their present ages is:

Q. The ratio between the ages of

A

and

B

2 : 5

. After

8

years, their ages will be in the ratio

1 : 2

. What is the difference between their present ages?

Q29. The respective ratio between the ages of Samir, Joy and Pradeep is 16 : 14 : 13, The sum of their ages is 86. What will be the respective ratio between their ages 4 years hence?

Join BYJU'S Learning Program

The ages of Samir and Tanuj are in the ratio, 8:15 years respectively. After 9 years, the ratio of their ages will be 11:18. What is the difference in years between their ages?

The correct option is D 21 yearsLet the present ages of Samir and Tanuj be 8x and 15x years respectively. Difference between their ages =15x -8x =7x Ratio of ages after 9 years, 8x+915x+9=1118⇒144x+162=165x+99⇒21x=63⇒x=3 Difference between their ages =7x =21 years