Math, asked by rachamallavasudha, 22 days 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

____________________

Similar questions