Question

the ratio of the age to the age of our mother is 311 the difference of their ages is 24 years what will be the ratio of their ages after 3 years​

Answer 1

Correct Question:

The ratio of Daughter's age and age of her mother is 3 : 11. The difference of their ages is 24 years. The ratio of their ages after 3 yeras will be ?

Answer:

The ratio of ages is 1 : 3.

Step-by-step explanation:

Given:

Ratio of their ages = 3 : 11

Difference between their ages = 24 years

To find :

Ratio of ages after 3 years

Solution :

Let the present ages be -

• Daughter as 3y
• Mother as 11y

⇒ 11y - 3y = 24

⇒ 8y = 24

⇒ y = 24/8

⇒ y = 3

$\rule{300}{1.5}$

★ Daughter's age -

⇒ 3(3)

⇒ 9 years

$\rule{300}{1.5}$

★ Mother's age -

⇒ 11(3)

⇒ 33 years

$\rule{300}{1.5}$

★ Ages after 3 years -

⇒ 9 + 3 = 12 years (Daughter)

⇒ 33 + 3 = 36 years (Mother)

$\rule{300}{1.5}$

★ Ratio of ages -

⇒ 12/36

⇒ 1/3

⇒ 1 : 3

Therefore, the ratio of ages is 1 : 3.

Answer 2

As corrected in the above answer the question follows as :

The ratio of the age to the age of

Daughter and mother is 3 : 11 and the difference of their ages is 24 years . what will be the ratio of their ages after 3 years​ ?

______________________

Given :

Ratio of ages of daughter and mother is 3 : 11

Let daughters age be denoted as " 3a "

Let mothers age be denoted as "11a"

As per the question , the difference between their ages is 24

11a - 3a = 24

8a = 24

a = 24 /8

a = 3

========================

So therefore

Daughters age is : 3a = 3 × 3 = 9

Mothers age is : 11a = 11 × 3 = 33

-----------------------------------

After 3 years :

Daughters age : 9 + 3 = 12

Mothers age : 33 + 3 = 36

Their ratio =

12: 36

2 : 6

1 : 3

=> Finally the answer is 1 : 3

Glad if helped..!!