GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 4

A mother is five times the age of her daughter. If after 5 years mother’s age would be three times of daughter’s age, then further after 10 years, how many times mother’s age would of her daughter’s age?
(A) 1.5 times
(B) 2 times
(C) 2.5 times
(D) 3 times


Answer: (B)

Explanation: Let present age of Mother is M and present age of daughter is D.

M/D = 5/1 

And,

(M+5)/(D+5) = 3/1 

Solve for M and D,

M+5 = 3D+15
5D+5 = 3D+15
2D=10 

We get,

D=5 and M=25 

Further after 10 years daughter age will be

= 5+5+10 = 20 years 

And, mother age will be
= 25+5+10 = 40 years
Hence, mother’s age would be 40/20=2 times higher than that age of her daughter.

Option (B) is correct.

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