Question

e ratio of A's age to the age of B is 3:11 The difference between their ages is 24 years. Find
auo of their ages after 5 years.​

Answer 1

Given :-

Ratio between the present ages of A and B is 3 : 11

Let their present ages be 3x and 11x respectively.

ATQ,

The difference between their present ages is 24 years.

Here, we've to find their ages after 5 years.

So first of all, we needa find the present age of A and B.

➡ 11x - 3x = 24 years (since the difference between their ages is 24 yrs)

➡ 8x = 24 years

➡ x = 24/8

➡ x = 3

Therefore,

• present age of A = 3x = 3 × 3 = 9 yrs

• present age of B = 11x = 11 × 3 = 33 yrs

Hence, their present ages after 5 years :-

» A's age will be = 9 + 5 = 14 years

» B's age will be = 33 + 5 = 38 years

Answer 2

$\huge\bigstar\underline\mathfrak\blue{Correct\:Question}$

The ratio of A's age to the age of B is 3:11. The difference between their ages is 24 years. Find the ratio of their ages after 5 years.

______________________

$\huge\bigstar\underline\mathfrak\blue{Answer}$

The ratio of their ages after 5 years is 7:19.

_______________________

$\huge\bigstar\underline\mathfrak\blue{Explanation}$

Given : The ratio of A's age to the age of B is 3:11. The difference between their ages is 24 years.

To find : The ratio of their ages after 5 years.

Solution : Let the present age of A is 3x and the present of B is 11x.

______________________

According to the question,

=>11x - 3x = 24 ( as the difference between their ages is 24 years ).

=> 8x = 24

=> x = 24/8

=> x = 3

______________________

Hence, the present age of A is 3x = 3×3 = 9 years.

the present age of B is 11x = 11×3 = 33 years.

______________________

Now, after 5 years,

The age of A will be 9 + 5 = 14 years.

The age of B will be 33 + 5 = 38 years.

________________________

The required ratio of their ages after 5 years be :

=> $\frac{age \: of \: A \: after \: 5 \: years}{age \: of \: B \: after \: 5 \: years \: }$

=> $\frac{14}{38} = \frac{7}{19}$

________________________

Hence, the required ratio of their ages after 5 years is 7/19.