the difference between the present ages of Tara and her father is 24years . 5 years ago she was one fifth her father's age. Find their present ages.
plz show working and do as algebraic equation
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let be present age of Tara=x
so, present age of his father will=x+24
then,age of Tara 5 years ago will=x-5
According to the question ,
x-5=(x+24)÷5
5(x-5)=x+24
5x-25=x+24
5x-x=24+25
4x=49
x=49÷4
x=12.25 years
so, present age of Tara is=x=12.25 years
present age of Tara's father=x+24
=12.25+24=36.25 years
so, present age of his father will=x+24
then,age of Tara 5 years ago will=x-5
According to the question ,
x-5=(x+24)÷5
5(x-5)=x+24
5x-25=x+24
5x-x=24+25
4x=49
x=49÷4
x=12.25 years
so, present age of Tara is=x=12.25 years
present age of Tara's father=x+24
=12.25+24=36.25 years
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