A) 15 years
B) 55 years
C) 40 years
D) 30 years
Correct Answer: C
Solution :
Let the age of A and B are \[11\text{ }x\]and \[3x\] respectively. \[\therefore \,\,\,\,\frac{11x+10}{3x+10}=\frac{13}{5}\] \[\Rightarrow \,\,\,\,55x+50=39x+130\] \[\Rightarrow \,\,\,\,55x-39x=130-50\,\,\,\Rightarrow \,\,\,16x=80\] \[\therefore \,\,\,\,\,x=\frac{80}{16}=5\] Age of A\[=11\times 5=55\]years Age of B \[=3\times 5=15\] years Difference of age \[=55-15=\] 40 yearsYou need to login to perform this action.
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