5 years ago parvathi age was 4 times her son. the sum of their present ages is 55. find parvathi 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. Let this be equation 1.
Also given that their present ages sum up to 55. So,
x+y=55. Let this be equation 2.
When we add equations 1 and 2,
We get
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=36
Parvati's age is 36 and her son's age is 14.
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. Let this be equation 1.
Also given that their present ages sum up to 55. So,
x+y=55. Let this be equation 2.
When we add equations 1 and 2,
We get
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=36
Parvati's age is 36 and her son's age is 14.
utkbkkh:
wrong
correct
Can you tell what went wrong? utkbkkh
the last part is wrong
the son's age is 14 so (14-5)=9yrs is his age 5 yrs ago, now (9*4)=36 and (36+5)=41yrs gives us the current age. the correct answer is 42 years and 36 years id Paravthi's age 5 yrs ago
OR, 55-14 is not 36 but it is 41years. that is the correct answerr
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