Question

Mrs. Sharma is 27 years older than her daughter Priyanka. After 8 years she will be twice as old as Priyanka. find their present age​

Answer 1

Step-by-step explanation:

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 2

Answer:

• Their ages are 19 and 46 years respectively

Step-by-step explanation:

Given:

• Mrs. Sharma is 27 years older than her daughter Priyanka
• After 8 years she will be twice as old as Priyanka

To Find:

• The present ages of Mrs.Sharma and Priyanka

Assumptions:

• Let the age of Priyanka be x
• Let the age of Mrs.Sharma be x + 27

Solution:

✰ The ages after 8 years will be,

• Priyanka's age = x + 8
• Mrs.Sharma's age = x + 27 + 8

✰ According to the question,

$\rightarrow \qquad \tt x + 27 + 8 = 2(x+ 8)$

$\rightarrow \qquad \tt x + 35 = 2(x + 8)$

$\rightarrow \qquad \tt x+ 35 = 2x + 16$

$\rightarrow \qquad \tt 35 - 16 = 2x - x$

$\rightarrow \qquad {\pink{\boxed{\frak{x = 19}}}\purple\bigstar}$

✰ Now let's find the ages,

$\nrightarrow \qquad \sf Priyanka's \; age = 1x = 1(19) = 19$

${\nrightarrow} \qquad \sf Mrs.Sharma's \; age = x + 27 = 19 + 27 = 46$

Therefore:

• Their ages are 19 and 46 years respectively

━━━━━━━━━━━━━━━━━━━