A) 49
B) 50
C) 60
D) 70
E) None of these
Correct Answer: B
Solution :
Explanation Let the age of Mary be 4x and age of Mariya be 5x Age of Mary after 12 years \[= \left( 4x + 12 \right) years.\] Age of Mariya after 12 years \[= \left( 5x + 12 \right) years\]. Now, \[\frac{4x+12}{5x+12}=\frac{5}{6}\] \[\Rightarrow \,\,\,6\left( 4x+12 \right)=5\left( 5x+12 \right)\] \[\Rightarrow \,\,\,24x+72=25x+60\,\,\Rightarrow \, 25x-24x=72-60\]\[\Rightarrow \,\,\,\,x=12\,\,years.\] \[\therefore \] The age of Mary after 2 years \[= \left( 4 \times 12 + 2 \right) years = 50 years.\]
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