Question

5 years ago the age of Parvathi was four times the age of his son the sum of their present ages is 55 years find Parvathi is present age

Answer 1

-Hey mate ashu here

Answer:

Parvati's age is 36 and her son's age is 14.

Step-by-step explanation:

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.

Answer 2

Answer:

let , parvathi = x , his son = y

5 year ago

==> (x-5) = 4(y-5)

==> x-5 = 4y-20

==> x-4y = -15..(1)

sum of their present age = 55

so, x + y = 55 ..(2)

from eq(1) and eq(2)

==> x+y = 55

      x-4y = -15

==> 5y = 70

==> y = 14

putting value of y in eq(2)

==> x+y = 55

==> x+14 = 55

==> x = 55-14

==> x = 41

so, parvathi age = 41 , and his son = 14