A) 2 times
B) \[2\,\,\frac{1}{2}\]times
C) \[2\,\,\frac{3}{4}\]times
D) \[2\frac{1}{5}\]times
Correct Answer: D
Solution :
Let Rohit's age = x years His father's age \[=3x\]year After 8 years Rohit's age = (x+8) years Father' sage = (3x+8) years As per question, \[3x+8=\frac{5}{2}(x+8)\] \[\Rightarrow 6x+16=5x+40\] \[x=24\,\,years\] After further 8 years Rohit's age = x +8+8 = 24+8+8 = 40 years Father's age = \[3x\]+8+8 \[=3\times 24+8+8\] \[=3\times 24+8+8\] =88 years \[\therefore \frac{Father's\,\,age}{Son's\,\,age}=\frac{88}{40}\] \[=2\frac{1}{5}\]
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