Math, asked by at3205775, 2 months ago

John father age is four times of John age after 5 years the age of John's father is 3 times of John's age .Find the age of John and his father​

Answers

Answered by TheBrainliestUser
30

Answer:

Their current ages are:

  • John's age = 10 years
  • His father's age = 40 years

Step-by-step explanation:

Given that:

  • John's father age is four times of John's age.
  • After 5 years the age of John's father is 3 times of John's age.

To Find:

  • The age of John and his father.

Let us assume:

  • The current age John be x.
  • John's father age = 4x

After 5 years:

  • John's age = (x + 5)
  • John's father age = (4x + 5)

Finding their current ages:

According to the question.

⟶ (4x + 5) = 3(x + 5)

⟶ 4x + 5 = 3x + 15

⟶ 4x - 3x = 15 - 5

⟶ x = 10

Their current ages are:

  • John's age = x = 10 years
  • His father's age = 4x = (4 × 10) = 40 years

Answered by Anonymous
188

Answer:

\large\underline {\sf \pmb{ \red{Given}}}

  • ➠ John father age is four times of John
  • ➠ After 5 years the age of John's father is 3 times of John's age .

 \large \underline {\sf \pmb{\red{To \:  Find}}}

  • ➠ The age of John and his father

   \large \underline{\sf \pmb {\red{Solution}}}

  \bigstar \: \underline \frak {\pmb{\pink{Let \:  the}}}

John age:

  • ➛ Current age of John be x .
  • ➛ After 5 years the age of John be (x+5)

John's Father age:

  • ➛ Current age of Let the John's father be 4x
  • ➛ After 5 years the age of John's father be (4x+5)

 \bigstar \:  \underline \frak {\pmb{\pink{According  \: to \:  the \:  Question }}}

  • Finding the current ages of John and John's Father.

 \implies \sf{ 4x + 5 = 3(x + 5)}

\implies \sf{ 4x + 5 = 3x + 15}

 \implies \sf{ 4x - 3x = 15 - 5}

 \implies\sf{x = 10}

 \large \star \underline{\boxed{\bf \purple{x = 10}}}

 \bigstar \:  \underline \frak{ \pmb{\pink{Henceforth}}}

John age:

  • ➛ The current age of John = x = 10 years
  • ➛ After 5 years the age of John = 10+5 = 15 years

John's Father age:

  • ➛ The current age of John's Father = 4x = (4×10) = 40 years
  • ➛ After 5 years the age of John's Father = 40+5 = 45 years
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