Question

the ratio of ages of Shruti and her mother is 2:5 . Shruti's mother was 27 years old during Shruti's birth. Find their present age.

Answer 1

Step-by-step explanation:

Given :-

The ratio of ages of Shruti and her mother is 2:5 . Shruti's mother was 27 years old during Shruti's birth.

To find :-

Find their present ages ?

Solution :-

Given that

The ratio of ages of Shruti and her mother = 2:5

Let they be 2X and 5X

Let the present age of Shruti be 2X years

Let the present age of her mother be 5X years

Shruthi's mother's age during Shruti's birth

=> 5X-2X

=> 3X years

According to the given problem

Shruthi's mother's age during Shruti's birth

= 27 years

=> 3X = 27

=> X = 27/3

=> X = 9 years

Now,

Age of Shruti = 2X = 2×9 = 18 years

Age of her mother = 5X = 5×9 = 45 years

Answer:-

The present ages of Shruti and her mother are 18 years and 45 years respectively.

Check:-

Age of Shruti = 18 years

Age of her mother = 45 years

Their ratio = 18:45

=> 18/45

=> (2×9)/(5×9)

=> 2/5

=> 2:5

Mother's age during Shruti's birth

= 45-18 = 27 years

Verified the given relations in the given problem