Math, asked by dubeyruchi7575, 4 months ago

Aditi is 22 years older than her daughter, find daughter’s age, if

after 5 years the ratio of the age of the daughter to her mother is

3:5​

Answers

Answered by snehitha2
5

Answer:

The present age of her daughter is 28 years

Step-by-step explanation:

Given :

  • Aditi is 22 years older than her daughter.
  • After 5 years, the ratio of the age of the daughter to her mother is  3:5​

To find :

the present age of daughter

Solution :

Let the present age of Aditi's daughter be x years

Since Aditi is 22 years older than her daughter,

Aditi's age = (x + 22) years

After 5 years,

Her daughter's age = (x + 5) years

Aditi's age = (x + 22 + 5) = (x + 27) years

The ratio of the age of daughter to her mother is 3 : 5

  \tt \dfrac{x+5}{x+27}=\dfrac{3}{5} \\\\ \tt 5(x+5)=3(x+27) \\\\ \tt 5x+25=3x+81 \\\\ \tt 5x-3x=81-25 \\\\ \tt 2x=56 \\\\ \tt x=56/2 \\\\ \tt x=28

Therefore, the present age of her daughter = 28 years

Answered by lakhankumar723900
0

Step-by-step explanation:

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