Math, asked by chirag659, 10 months ago

kirti's father is five times as old as kirti after 5 years,father will be three times as old as kirti.find their present ages​

Answers

Answered by Anonymous
64

Answer :-

Present ages of Kirti and father are 5 years and 25 years respectively.

Explanation :-

Let the age of Kirti be x years

Age of Kirti's father = 5 times the age of Kirti = 5(x) = 5x years

Age of Kirti after 5 years = (x + 5) years

Age of Kirti's father after 5 years = (5x + 5) years

Given

Age of the father after 5 years = 3 times the age of Kirti

⇒ 5x + 5 = 3(x + 5)

⇒ 5x + 5 = 3x + 15

⇒ 5x - 3x = 15 - 5

⇒ 2x = 10

⇒ x = 10/2

⇒ x = 5

Present age of Kirti = x = 5 years

Present age of father= 5x = 5(5) = 25 years.

Present ages of Kirti and father are 5 years and 25 years respectively.

Answered by Anonymous
190

\bold{\underline{\underline{Answer:}}}

Present age of Father = 25 years

Present age of Kirti = 5 years.

\bold{\underline{\underline{Step\:-\:by\:-step\:explanation:}}}

Given :-

  • Kirti's father is five times as old as Kirti
  • After 5 years,father will be three times as old as Kirti

To find :-

  • Present age of Father
  • Present age of Kirti

Solution :-

Let the present age of Father be x years.

Let the present age of Kirti be y years.

\bold{\underline{\underline{As\:per\:first\:condition\::}}}

  • Kirti's father is five times as old as Kirti

\rightarrwo \bold{x\:=\:5y\:} ----> (1)

\bold{\underline{\underline{As\:per\:second\:condition\::}}}

  • After 5 years,father will be three times as old as Kirti

Ages after 5 years :-

Father's age = x + 5 years

Kirti's age = y + 5 years

\implies \bold{x+5\:=\:3\:(y+5)}

\implies\bold{x+5\:=\:3y\:+\:15}

\implies \bold{x\:-3y\:=\:15\:-\:5\:}

\implies \bold{x\:-\:3y\:=\:10} ----> 2

Substitute x = 5y in equation 2 for x,

\implies \bold{5y\:-3y\:=\:10}

\implies \bold{2y\:=\:10}

\implies \bold{y\:=\frac{10}{2}}

\implies \bold{y\:=\:5}

Substitute y = 5 in equation 1,

\implies\bold{x\:=\:5y}

\implies \bold{x\:=\:5\times\:5}

\implies \bold{x\:=\:25\:years}

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