Question

the percentage of a father four times the age of his son after 10 years age of father will became three time the age of his son find the present age​

Answer 1

Given :

• The present age of a father 4 times the age of his son.
• After 10 years, the age of father will become 3 times the age of his son.

To find :

• Their present ages.

Solution :

Consider,

• Present age of son = x years

Then,

• Present age of father = 4x years

After 10 years,

• Age of father = (4x+10) years
• Age of son = (x+10) years

According to the question :-

$\to\sf{4x+10=3(x+10)}$

$\to\sf{4x+10=3x+30}$

$\to\sf{4x-3x=30-10}$

$\to\sf{x=20}$

• Present age of son = 20 years
• Present age of father = 4×20 = 80 years.

Answer 2

✯✯ QUESTION ✯✯

The present age of a father four times the age of his son after 10 years age of father will became three time the age of his son find the present age..

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✰✰ ANSWER ✰✰

$\implies\tt{Let\:the\:present\:age\:of\:son\:be=y\:year}$

➮As Given that Present age of Father is four times the age of his son.So ,

$\implies\tt{Father's\:age=4y}$

➥After 10 years : -

$\implies\tt{Father's\:age=4y+10}$

$\implies\tt{Son's\:age=y+10}$

➥A.T.Q : -

➮After,10 years the age of father will become three times of his son's age..So ,

$\implies\tt{4y+10=3(y+10)}$

$\implies\tt{4y+10=3y+30}$

$\implies\tt{10-30=3y-4y}$

$\implies\tt{-20=-1y}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{y}\orange{=}\purple{20}}}$

➥Now ,

$\implies\tt{Present\:age\:of\:Son=y}$

$\implies\tt\bold{20\:years}$

$\implies\tt{Present\:Age\:of\:Father=4(20)}$

$\implies\tt\bold{80\:years}$