Question

If father is twice old as his son and also 29 years older than his son.what is the age of the father?

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The son is 29 years old and Father is 58 years old.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Father's age = twice old as his son

Father is also 29 years older than his son

To Find :

The age of the father

Solution :

◆ $\textbf{\small{\underline{Consider the - }}}$

• Age of Son as x
• Age of Father as 2x

$\rule{300}{1.5}$

◆ $\textbf{\small{\underline{According to the Question -}}}$

Father is twice as old as his son as well as 29 years older than son.

★ $\boxed{2x=x+29}$

$\longrightarrow \: 2x = x + 29$

$\longrightarrow \: 2x - x = 29$

$\longrightarrow \: x = 29$

Son = 29 years old

$\rule{300}{1.5}$

★ Value of 2x

$\longrightarrow \: 2 \times 29$

$\longrightarrow \: 58$

Father = 58 years old

$\therefore$ The son is 29 years old and Father is 58 years old.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\longrightarrow \: 2(29) = 29 + 29$

$\longrightarrow \: 58 = 58$

$\therefore$ The son is 29 years old and Father is 58 years old.

Answer 2

Answer:

The Father's age is 58 years.

Step-by-step explanation:

Gívєn -

Father = twice old as his son

He is even 29 years older than his son.

Tσ fínd -

The age of the father = ?

Sσlutíσn -

Let the age of som be as x

As given in the Question -

Father is Twice as well as 29 years older than his son.

⇒ 2(x) = x + 29

⇒ 2x = x + 29

⇒ 2x - x = 29

⇒ x = 29

$\rule{300}{1.5}$

Father's age =

⇒ 2(x)

⇒ 2(29)

⇒58

.°. The Father's age is 58 years.