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Question

Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. The product of their present ages is:

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Solution

Ashu's age =xyears
Ashu's mother age =x2.years
Ashu's age after 5 year =(x+5)years
Ashu's mother age after 5 year =(x2+5)years
According to the given condition,
(x2+5)=3(x+5)
x2+5=3x+15
x23x10=0
x25x+2x10=0
x(x5)+2(x5)=0
(x5)(x+2)=0
x5=0 and x+2=0
x=5 and x=2
Age can not be negative.
Ashu's age =5years
Ashu's mother age =x2=(5)2=25years
Required product =5×25=125years


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