Question

14. 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.​

Answer 1

let rekha's present age be x

therefore, mrs goel's present age is x+27

after 8 yrs...

rekha's age=x+8

mrs goel's age=x+27+8

according to the problem....

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

2x+16=x+35

2x-x=35-16

x=19

rekha's present age=x=19yrs

therefore mrs goel's present age=x+27=(19+27)yrs=46yrs

Step-by-step explanation:

Answer 2

Answer:

Present age of Mrs Goel and Rekha are 46 and 19 respectively

Step-by-step explanation:

Let age of Mrs. Goel and Rekha be g and r.

Mrs Goel is 27 years older than her daughter Rekha.

$g = r + 27$

After 8 years she will be twice as old as

Rekha

$2(r + 8) = (g + 8)$

Substitute for g

$2r + 16 = r + 27 + 8$

$r \: = 19 \: years$

$g = 19 + 27 = 46 \: years$