Site navigation

The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of…

The correct choice is: 21 years Let the ages be \(8x\) and \(15x\). Then \(\dfrac{8x+9}{15x+9} = \dfrac{11}{18}\). \(144x + 162 = 165x + 99 \Rightarrow 21x = 63 \Rightarrow…

Choose your answer

The ages of Samir and Tanuj are in the ratio of 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?

Select one answer
Answer and explanation

Correct answer D

The correct choice is: 21 years

Let the ages be 8x8x and 15x15x. Then 8x+915x+9=1118\dfrac{8x+9}{15x+9} = \dfrac{11}{18}.

144x+162=165x+99⇒21x=63⇒x=3144x + 162 = 165x + 99 \Rightarrow 21x = 63 \Rightarrow x = 3.

Ages are 24 and 45; difference =7x=21= 7x = 21. Hence the answer is 21 years.

Practice for these exams

  • NCHM Joint Entrance Examination (NCHM JEE)

Related question papers

Related exam syllabi

Related questions in this topic