The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?
The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?
A4 years
B12 years
C6 years
D8 years
All DiscussionsClick here to write answer
Correct answer is: 8 years
Explanation:
Let the present age of Sonal and Nitya be 9x and 5x years respectively
According to the question,\(\frac{9x+8}{8x+8}=\frac{13}{9}\)
\(\implies 81x + 72 = 65x + 104\)
\(\implies 81x - 65x = 104 - 72\)
\(\implies 16x = 32\)
\(\implies x = \frac{32}{16} = 2\)
Therefore, Required difference = \(9x - 5x\) = \(4 \times 2\) = 8 years
All Comments
Post your answers here:
Post
