Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age.
(a) 5 years
(b) 7 years
(c) 6 years
(d) 4 years

Solution

Answer    (a)
Explanation
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Consider Ayisha's present age = x
Then her father's age = 6x

Given that Ayisha 's father's age will be twice the age of Shankar's age after 10 years
=> Shankar's age after 10 years = 12(6x + 10) = 3x + 5

Also given that Shankar's eight birthdays was celebrated two years before
=> Shankar's age after 10 years = 8 + 12 = 20
=> 3x + 5 = 20
=> x = 153 = 5

Therefore, Ayisha 's present age = 5 years