Math, asked by nikhil78664, 11 months ago

Age of Ramesh's father is 27 years more than Ramesh. After 5 years the
age of Ramesh and his father is 2:3. Find the present age of Father and
Ramesh.​

Answers

Answered by anuanku
1

Answer:

Let age of Ramesh = x years

Then father’s age = (x + 27) years

After 5 years from now, age of Ramesh = (x + 5) years

After 5 years from now, age of father = x+ 27 + 5 = (x+ 32) years

According to question,

or 3(x + 5) = 2(x + 32)

or 3x + 15 = 2x + 64

or 3x – 2x = 64 – 15

or x = 49

Ramesh’s age x = 49 years

Father’s age x + 27 = 49 + 27 = 76 years

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Answered by Anonymous
5

\huge\mathfrak{Answer:}

Given:

  • We have been given that Age of Ramesh's father is 27 years more than Ramesh.
  • After 5 years the age of Ramesh and his father would be in the ratio of 2:3.

To Find:

  • We need to find the present age of Ramesh and his father.

Solution:

Let the age of Ramesh be x years.

=> Age of his father = (x + 27) years.

After five years,

Age of Ramesh = (x + 5) years

Age of his father = (x + 27 + 5) years =

(x + 32) years.

According to the question,

 \sf{ \dfrac{x + 5}{x + 32}  =   \dfrac{2}{3}  }

 \implies\sf{3(x + 5) = 2(x + 32)}

 \implies\sf{3x + 15 = 2x + 64}

 \implies\sf{3x - 2x + 15 = 64}

 \implies\sf{x = 64 - 15}

 \implies\sf{x = 49}

Therefore, age of Ramesh (x) = 49 years.

Age of Ramesh's father (x + 27)

= 49 + 27

= 76 years.

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