The respective ratio of the present age of Swati and Trupti is 4 : 5. Six years hence the respective ratio of their age will be 6 : 7. What is the difference between their age?
The respective ratio of the present age of Swati and Trupti is 4 : 5. Six years hence the respective ratio of their age will be 6 : 7. What is the difference between their age?
A2 years
B3 years
C4 years
DCannot be determined
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Correct answer is: 3 years
Explanation:
Let Swati's present age = 4x years
'I'rupti's present age = 5x years\(\Large \frac{4x+6}{5x+6}=\frac{6}{7}\)
\(\implies 30x + 36 = 28x + 42\)
\(\implies 2x = 42 - 36 = 6\)
\(\implies x = 3 = \text{difference of their age}\)
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