Question

The ratio of ages of Abha and her mother is 2 : 5. At the rime of Abha's birth her mother's age was 27 years find the present age of Abha and her mom...​

Answer 1

$\mathfrak{\huge{Answer:}}$

$\mathbb{GIVEN}$

Ratio of the ages of Abha and her mother = 2:5

When Abha was born, her mother was 27 years old

$\mathbb{TO\:FIND}$

The ages of Abha and her mother

$\mathbb{METHOD}$

From the information we're provided with, we can conclude that the difference in the ages of Abha and her mother will be of 27 years.

Now, if we let the age of Abha and her mother to be = 2x and 5x respectively ( these assumptions have been made according to the ratio between their ages ), we can say that :

$\bf{5x - 2x = 27}$

Solve this formed equation further:

$\bf{3x = 27}$

Now, just take this 3 to the RHS and then solve

$\bf{x = 9\:years}$

Thus, Abha = 2x = 2 × 9 = 18 years

Mother = 5x = 5 × 9 = 45 years

Final answer : $\sf{\huge{Ages = 18\: years\:and\:45\:years}}$

Answer 2

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 age of Abha and her mother.

Answer :

Let the present age of Abha be x years.

Hence, the present age of her mother is (x + 27) years.

As per the given condition,

x/ (x + 27) = 2/5

5x = 2( x + 27 )

Opening the brackets of R.H.S,

5x = 2x + 54

5x - 2x = 54

3x = 54

Dividing both the sides by 3, we get :

x = 18

Hence,

Present age of Abha is 18 years.

Present age of her mother

= x + 27

= 18 + 27

= 45

Present age of Abha's Mother is 45 years.

Present age of Abha is 18 years.

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