Question

the present age of sanais father is 3times that of sania after 5years sum of their ages whold be 70years find there present age​

Answer 1

Given :

• Present Age of Sania's fatger is 3 times of Sania's age.
• After 5 years sum of their ages will be 70 years.

To Find :

• Present Age of Sania and her Father.

Solution :

$\longmapsto\tt{Let\:Sania's\:age\:be=x}$

As Given that her father is 3 times of her age.So ,

$\longmapsto\tt{Age\:of\:Father=3x}$

After 5 years :

$\longmapsto\tt{Age\:of\:Sania=x+5}$

$\longmapsto\tt{Age\:of\:Father=3x+5}$

A.T.Q :

$\longmapsto\tt{x+5+3x+5=70}$

$\longmapsto\tt{4x+10=70}$

$\longmapsto\tt{4x=70-10}$

$\longmapsto\tt{4x=60}$

$\longmapsto\tt{x=\cancel\dfrac{60}{4}}$

$\longmapsto\tt\bold{x=15}$

Value of x is 15..

Therefore :

$\longmapsto\tt\bold{Age\:of\:Sania=15\:yrs.}$

$\longmapsto\tt{Age\:of\:Father=3(15)}$

$\longmapsto\tt\bold{45\:yrs.}$