Question

The age of sneha is 20 years more than her
daughter. After 7years, age of sneha will
be thrice the age of her daughter, Find their
ages.​

Answer 1

Answer:

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Answer 2

✰ Age of sneha is 30 years and age of her daughter is 10 years respectively. ✰

Step-by-step explanation:w

Given: The age of sneha is 20 years more than her daughter.After 7 years, age of sneha will be thrice the age of her daughter.

To find: Ages of sneha and her daughter

Solution:

Let,

• Age of her daughter = x years
• Age of sneha = 20 + x years

After 7 years,

• Age of sneha = 20 + 7 + x = 27 + x years
• Age of her daughter = 7 + x years

Then,

$\\ :\implies\sf{x + 27 = 3(x + 7)} \\ \\ :\implies\sf{x + 27 = 3x + 21} \\ \\ :\implies\sf{27 - 21 = 3x - x} \\ \\ :\implies\sf{6 = 2x} \\ \\ :\implies\sf{x = \frac{ \cancel{6}}{ \cancel{2}}} \\ \\ :\implies \underline{\boxed{\frak{x = 3}}} \: \red{\bigstar}$

Therefore,

• x = 3
• Age of sneha = 27 + x = 27 + 3 = 30 years
• Age of her daughter = 7 + x = 7 + 3 = 10 years

• Hence,Age of sneha is 30 years and her daughter is 10 years.