A Mother is 20 years older than her daughter, 4 years before she was 5 times

A Mother is 20 years older than her daughter, 4 years before she was 5 times of her daughter’s age at that time. How old is the daughter now?
A. 9
B. 12
C. 18
D. 16

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (A) 9 

Solution:-
Let the age of daughter be X years. 

A mother is 20 years older than her daughter, 
Then, the age of mother = ( X + 20) years

4 years before she was 5 times of her daughter’s age at the time, 
 (X + 20) – 4 = 5 (X – 4) 
X + 20  – 4 = 5 X – 20 
5 X – X = 16 + 20 
4 X = 36 
X = 36/4
X = 9 

Then, the age of daughter is 9 years. 

Hence, the correct answer is option (A) 9. 

Anurag Mishra Professor Answered on 1st March 2016.
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