Ayishas age is $\dfrac{1}{6}$th of her fathers age. Ayishas fathers age will be twice the age of Shankars age after 10 years. If Shankars eight birthdays was celebrated two years before, then what is Ayisha s present age.
10 years
12 years
8 years
5 years
Explanation:
Consider Ayishas present age = $x$
Then her fathers age = 6$x$
Given that Ayisha s fathers age will be twice the age of Shankars age after 10 years
=> Shankars age after 10 years =$\dfrac{1}{2}(6x + 10) = 3x + 5$
Also given that Shankars eight birthdays was celebrated two years before.
=> Shankars age after 10 years = 8 + 12 = 20
=> $3x+5=20$
=> $x=\dfrac{15}{3}=5$