Question

the ratio of ages of abha and her mother is 2:5 at the time of abhas birth her mother age was 27 yr find the present ages of abha and her mothr?​

Answer 1

Answer:

Given:-

the ratio of ages of abha and her mother is 2:5 at the time of abhas birth her mother age was 27 years.

To find:-

Find the present ages of abha and her mother?

Solution:-

The ratio of the ages of Abha and her mother = 2:5

Let they be 2x and 5X years

Let the present age of Abha be 2X years

Let the present age of Abha's mother be 5X years

Abhas's mother's age at the time of Abha's birth

=> 5X-2X

=> 3X years

According to the given problem

Abha's mother's age at the time of Abha's birth = 27 years

=> 3X = 27 years

=> X = 27/3

=>X = 9 years

Abha's age =2X years

= 2× 9

=18 years

Mother'age = 5X years

=>5×9

=>45 years

Answer:-

Abha's present age = 18 years

Abha's mother's present age = 45 years

Check:-

Abha's mother's age at the time of Abha's birth = 45-18 = 27 years

and their ratio = 18:45 = 2:5

Verified the given relations

Answer 2

Correct question!!

The ratio of ages of abha and her mother is 2:5. At the time of abha's birth, her mother's age was 27 years. Find the present ages of abha and her mother?

Solution!!

Ratio = 2 : 5

Let the ratio be 2x and 5x respectively.

Given that during abha's birth, her mother's age was 27 years.

So,

5x - 2x = 27

3x = 27

x = 27 ÷ 3

x = 9

2x = 2 × 9 = 18

5x = 5 × 9 = 45

Hence, the present ages of Abha and her mother is 18 years and 45 years, respectively.