Question

Mrs Goel is 27 years older than her daughter Rekha .after 8 years she will be twice as old as Rekha find their present ages. easy for write with solution ​

Answer 1

Let Rekha's present age be x

Mrs. Goel's present age =x+27

After 8 years,

Age of Rekha=x+8

Age of Mrs. Goel =x+27+8

According to the question,

2(x+8)=x+27+8

2x+16=x+35

x=19

Therefore, Rekha's age=19 years

and Mrs. Goel=46 years.

Answer:

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Answer 2

To find : present age of Mrs. Goel and her daughter Rekha.

Given : Mrs. Goel is $27$ years older than her daughter Rekha . After $8$ years she will be twice as old as Rekha .  

Solution :

• Let present age of Rekha be $x$.
• Then as per given data age of Mrs. Goel be , $x + 27$
• After  $8$ years,

         age of Rekha = $x + 8$ and , age of Mrs. Goel = $x + 27 + 8$

• Then according to question we have ,

                        $\begin{array}{l}2(\mathrm{x}+8)=\mathrm{x}+27+8 \\2 \mathrm{x}+16=\mathrm{x}+35 \\\mathrm{x}=19\end{array}$

• Therefore , Rekha's age = $x$ = $19 \ years$

          Mrs. Goel's age = $x + 27 = 19 + 27 = 46 \ years$

Hence, Mrs. Goel's is $46$ years old and her daughter is $19$ years old .