Question

the ages of kanika and her grandfather is in the ratio of 3:8 if the difference of their ages is 50 find their ages

please tell the process​

Answer 1

$\bf\pink{QuestioN:-}$

The ages of Kanika and her grandfather is in the ratio of 3 : 8 .  If the difference of their ages is 50,  find their ages.

$\bf\violet{AnsweR:-}$

The ratio of Kanika's and her grandfather's age = 3 : 8

Let the age of Kanika be 3x.

Age of grandfather be 8x.

The difference of their ages = 50

That is,

$\implies\bf{8x-3x=50}$

$\implies\bf{5x=50}$

$\implies\bf{x=\dfrac{50}{5}}$

$\implies\bf{x=10}$

Now we can substitute 10 instead of x and thus we can find their age.

⇒ Age of Kanika = 3 x

⇒ 3x = 3 × 10 = 30

⇒ Age of grandfather = 8 x

⇒ 8x = 8 × 10 = 80.

$\large{\boxed{\mathtt{\bigstar{\longrightarrow{Age\:of grandfather\:=\:80\:years!!}}}}}$

$\large{\boxed{\mathtt{\bigstar{\longrightarrow{Age\:of\:Kanika=30\:years!!}}}}}$

All Done !!☺