Question

sarvan father is three times as old as sarvan . sum of their age is 56 years .take sarvan's age as x years.



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Answer 1

Given :

• Father's age is 3 times as the age of Sravan .
• Sum of their ages is 56 years .
• Take Sravan's age as x years .

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To Find :

• Age of Sravan and his father = ?

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Solution :

~ According to the Question :

$\longmapsto$ Age of Sravan is x years .So,

$\qquad \; \; {\pmb{\sf{ Age \; of \; Sravan \; = x \; years }}}$

$\longmapsto$ Age of father is 3 times the Sravan's age .So,

$\qquad \; \; {\pmb{\sf{ Age \; of \; Father \; = 3x \; years }}}$

$\longmapsto$ Sum of their ages is 56 years . So,

$\qquad \; \; {\pmb{\sf{ x + 3x = 56 }}}$

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~ Calculating the Value of x :

$\; \; {\dashrightarrow{\qquad{\sf{ x + 3x = 56 }}}}$

$\; \; {\dashrightarrow{\qquad{\sf{ 4x = 56 }}}}$

$\; \; {\dashrightarrow{\qquad{\sf{ x = \dfrac{56}{4} }}}}$

$\; \; {\dashrightarrow{\qquad{\sf{ x = \cancel\dfrac{56}{4} }}}}$

$\qquad \; \; {\pink{:\implies{\underline{\boxed{\orange{\sf{ Value \; of \; x \; = 14 }}}}}}}$

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~ Calculating the Ages :

• ➟ Age of Sravan = x = 14 years
• ➟ Age of Father = 3x = 3(14) = 42 years

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~ Therefore :

❝ Age of Sravan is 14 years and age of his father is 42 years . ❞

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Answer 2

Given:

• Sarvan's father age is three times the age of Sarvan .
• Sum of their ages is 56 .

To Find:

• Ages of both .

Solution:

Let,

• age of Sarvan be = x
• Age of father = 3 x

${\dag}\:{\underline{\frak{According\: to \:Question}}}$

$\\:\sf\implies{x+3x=56}$

$:\sf\implies{4x=56}$

$:\sf\implies{x=\cancel\dfrac{56}{4}}$

$:\sf\implies{x=14}$

$:\implies{\frak{ \pink{x = 14}}}\:\bigstar$

Value of x is 14 .

Therefore :

• Age of Sarvan = x = 14 yrs

• Age of Sarvan = x = 14 yrsAge of his father = 3 × 14 = 42 yrs