A brother is three years elder to his sister . Five years ago, three-fifth of his age was equal to three-fourths of her age. How old are the brother and sister now?
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Let the present age of the brother be x and the present age of sister be y.
According to question
x=y+3(Since,brother is 3 years elder than sister)
Again,
Age of brother 5 years ago=(x-5)years
=(y+3-5)=y-2
Age of sister 5years ago=y-5
According to ques.
3/5 of (y-2) =3/4 (y-5)
or,3y-6/5=3y-15/4
on Solving this linear equation we get
y=17
x=y+3 (we have considered this)
=17+3=20
Hence,present age of bro.=20years
present age of sis.=17 years
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