5 years ago the age of the Parvati was four times the age of the sum of their present age is 55 find the Parvati is present age
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Let parvati's age be x.
Let her son's age be y.
Five years ago, parvati's age will be x+5.
Five years ago, parvati's son's age will be y-5.
Given that,5 years ago, parvati's age is four times her son's age. So,
4(y-5)=x-5
4y-20=x-5
4y-x=15. (Equation 1)
Again,
Also given that their present ages sum up to 55. So,
x+y=55.
Adding equation one and second
4y-x+x+y=15+55
5y=70
y=14
Substitution of y in equation 2, we get
14+x=55
x=55-14
x=41
therefore Parvati Present age =41
that's all
@sujeet
Let her son's age be y.
Five years ago, parvati's age will be x+5.
Five years ago, parvati's son's age will be y-5.
Given that,5 years ago, parvati's age is four times her son's age. So,
4(y-5)=x-5
4y-20=x-5
4y-x=15. (Equation 1)
Again,
Also given that their present ages sum up to 55. So,
x+y=55.
Adding equation one and second
4y-x+x+y=15+55
5y=70
y=14
Substitution of y in equation 2, we get
14+x=55
x=55-14
x=41
therefore Parvati Present age =41
that's all
@sujeet
asmitha76:
it is wrong answer sir , the answer is 41
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