A) 28:17
B) 25:19
C) 7:9
D) 9:7
E) None of these
Correct Answer: D
Solution :
Let the age of Amrit and Amrita be x and y respectively. Therefore, \[\frac{x}{y}=\frac{7}{5}\] or, \[5x=7y\] ?(i) and x + y = 72 ?(ii) Solving eqn (i) and (ii), we get x = 42 and y = 30 Ratio of ages after 12 years \[=\frac{x+12}{y+12}=\frac{42+12}{30+12}=\frac{54}{42}=9:7\] Method II. Age of Amrit\[=\frac{72}{12}\times 7=42\,yrs\] Age of Amrita\[=\frac{72}{12}\times 5=30\,yrs\] \[\therefore \]Reqd ratio = (42+12):(30+12) \[=54:42=9:7\]You need to login to perform this action.
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