Question

the present age of father and his daughter is 8x years and 3x years respectively the father was 35 years old when the daughter was born . find the present age of daughter.​

Answer 1

Answer:

The present age of daughter is 21 years.

Given :

• The present age of father and his daughter is 8x years and 3x years respectively.
• The father was 35 years old when the daughter was born.

To Find :

• The present age of daughter.

Solution :

Here, as per the provided information, we have to calculate the present age of daughter when the present age of father is 8x and present age of daughter is 3x. And the father was 35 years old when daughter was born. So, basically 35 is the difference between the ages of father and daughter.

$\dashrightarrow \: \: \bf 8x - 3x = 35$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow \: \: \bf 5x = 35$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow \: \: \bf x = \cancel\dfrac{35}{5}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow \: \: \underline{ \boxed{ \bf{x = 7}}} \: \blue{ \bigstar}$

Therefore, the value of x is 7.

$\bigstar \: \underline{ \sf{ \pmb{According \: to \: the \: Question :}}}$

We're given that the daughter's age is 3x.

$\dashrightarrow \: \: \bf 3x = 3 \times 7$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow \: \: \underline{ \boxed{ \bf{x = 21}}} \: \purple{ \bigstar}$

Therefore, the present age of daughter is 21 years.

Answer 2

$\huge\fbox\orange{QUE}{\colorbox{blue}{ST}}\fbox\green{ION}$

The Present Age of father and his daughter is 8x years and 3x years respectively. The Father was 35 years old when the daughter was born. Find the Present age of the daughter.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\sf\green{Given :}$

➣ Present Age of Father and his daughter is 8x years and 3x years respectively.

➣ Father was 35 years old when the daughter was born.

$\sf\pink{To \: Find :}$

➣ The Present Age of the Daughter

$\sf\pink{Solution :}$

The Present Age of father is 8x years and the Present Age of daughter is 3x years. The Father was 35 years old when the daughter was born. So, 35 is the difference between the ages of father and daughter.

⇒ 8x - 3x = 35

⇒ 5x = 35

⇒ x = $\cancel\frac{35}{5}$

⇒ x = 7

➪ The value of x is 7

➤ The Present Age of the Daughter :—

⟼ Present Age of Daughter = 3x

⟼ Present Age of Daughter = 3 × 7

⟼ Present Age of Daughter = 21

➦ So, the Present Age of the Daughter is 21 years.