Math, asked by thakurmukesh1980, 3 months ago

Ram is three years older than deepika. Six years ago, Ram's age was fourtime deepika age. Find the ages of Deepika and Ram

Answers

Answered by adityaverma674
5

Answer:

let Ram's age be x and Deepika's age be x-3

Step-by-step explanation:

ATQ

x-6 = 4{ ( x - 3 ) - 6}

x-6 = 4 ( x - 9 )

x - 6 = 4x - 36

x - 4x = 6- 36

- 3x = - 30

x = 10

Ram's age is 10 years

Deepika's age is 13 years

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Answered by Anonymous
20

Given:-

  • Ram is three years older than deepika.
  • Six years ago, Ram's age was four times deepika age.

To find:-

  • The ages of Deepika and Ram.

Solution:-

  • Let the Deepika's age be x.

  • Ram's age = x + 3

Six years ago:-

  • Deepika's age = x - 6
  • Ram's age = x + 3 - 6 = x - 3

\large{\tt{\longrightarrow{x - 3 = 4(x - 6)}}}

\large{\tt{\longrightarrow{x - 3 = 4x - 24}}}

\large{\tt{\longrightarrow{3x = 21}}}

\large{\tt{\longrightarrow{x = \dfrac{21}{3}}}}

\boxed{\large{\tt{\longrightarrow{\red{x = 7}}}}}

Hence,

  • Deepika's age = 7 years
  • Ram's age = 7 + 3 = 10 years
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