# 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,

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(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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