Math, asked by rachamallavasudha, 2 months ago

IS
Rohit's mother's age is five times Rohit's age.
If the sum of their ages is 66, find the ages of
Rohit and his mother.​

Answers

Answered by ItzWhiteStorm
115

Let the ages of rohit and his mother be x years and 5x years.

\\ \underline{\bigstar\boldsymbol{According\;to\;the\;condition:}}\\

  • Here,the sum of the their ages is 66. Rohit's mother's age is 5 times rohit's age.Then the equation will be x + 5x = 66.

Substituting the values,

\\ :\implies\;\sf{x+5x=66}\\ \\ :\implies\;\sf{6x=66}\\ \\ :\implies\;\sf{x=\frac{\cancel{66}}{\cancel{6}}}\\ \\ :\implies\;\underline{\boxed{\frak{x=11}}}\;\red{\bigstar}\\ \\

  • ∴ Hence,Rohit's age is x = 11 years and his mother's age is 5x = 5 × 11 = 55 years.
Answered by ItzMarvels
2

__________________

♧Question♧

  • Rohit's mother's age is five times Rohit's age.If the sum of their ages is 66, find the ages of Rohit and his mother.

♧Answer♧

According to the question,

  • Let the Rohit's age is " x " and the Rohit's mother age is " 5x ".

Now make equation with the help of the question.

  • 5x + x = 66

First we have to find the value of x.

  • ➠5x + x = 66
  • ➠ 6x = 66
  • ➠x = 66/6
  • x = 11

Now put the value of x in 5x

  • ➠5x
  • ➠5 ( 11 )
  • 55

☆So,

Rohit's age = 11 year

Rohit's mother age = 55 year

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