Question

shakshi s mother is 9 times than she is now after 3 years her mother wil be 5 times than her . Find their present ages​

Answer 1

Answer:

Mother's age=27 years

Sakshi's age=3 years

Step-by-step explanation:

$let \: the \: age \: of \: sakshis \: mother = x \\ then \: sakshis \: age \: = \frac{x}{9} \\ \\ after \: three \: years \\ mother \: age = x + 3 \\ sakshis \: age = \frac{x}{9} + 3$

According to the question,

$x + 3 = 5(\frac{x}{9} + 3) \\ x + 3 = \frac{5x}{9} + 15 \\ x + 3 = \frac{5x + 135}{9} \\ 9(x + 3) = 5x + 135 \\ 9x + 27 = 5x + 135 \\ 9x - 5x = 135 - 27 \\ 4x = 108 \\ x = \frac{108}{4} \\ x = 27$

Mother's age=x=27 years

Sakshi's age=x/9=27/9=3 years