Question

Six years from now, the average of Monu's age at that time and Ninu's age at that time will be 29 years. Five years ago, if the respective ratio between Monu's age and Ninu's age at that time was 11:7, what is Ninu's present age?

• A. 17 years
• B. 33 years
• C. 27 years
• D. 19 years
• E. 22 years

Answer 1

The correct option is D 19 years

Let the age of Monu $=x$
Age of Ninu $=y$
six years from now,
Monu's age $=x+6$
Ninu's age $=y+6$
$\therefore \frac{x+6+y+6}{2}=29Accordingtothequestion,\frac{x-5}{y-5}=\frac{11}{7}\Rightarrow 7x-35=11y-55\Rightarrow 7(46-y)-35=11y-55\Rightarrow 322-7y-35=11y-55\Rightarrow -18y=-342\Rightarrow y=19\therefore x=46-y=46-19=27$
Ninu's age = y= 19 years