Question

The present ages of Meera and her brother are in the ratio 6: 5. Four years
ago, the ratio of their ages was 4:3. Find their present ages.
5​

Answer 1

Answer:

ans in explanation

Step-by-step explanation:

Present age of Merra and her brother is in the ratio 6:5

• Four years ago,the ratio of their age was 4:3

To Find :

• Present age of Merra and her brother

Solution :

Let Merra's present age be 6x and his brother be 5x

4 years ago :

★ Merra's age = 6x - 4

★ Brother's age = 5x-4

According to the Question :

{6x - 4}{5x - 4} = {4}{3}⟶

5x−4

6x−4

=

3

4

3(6x - 4) = 4(5x - 4)⟶3(6x−4)=4(5x−4)

18x - 12 = 20x - 16⟶18x−12=20x−16

18x - 20x = - 16 + 12⟶18x−20x=−16+12

- 2x = - 4⟶−2x=−4

{ - 4}{ - 2}⟶x=

−2

−4

{ x = 2}⟶x=2

We've assumed the age of Merra and his brother as 6x and 5x. Let's find their present ages by putting x = 2

Merra's \: age = 6(2) = 12 \: years}

′

sage=6(2)=12years

Brother's \: age = 5(2) = 10 \: years}}★

Brother

′

sage=5(2)=10years

Answer 2

Given:

✰ The present ages of Meera and her brother are in the ratio 6: 5.

✰ Four years ago, the ratio of their ages was 4:3.

To find:

✠ Their present ages.

Solution:

Let's understand the concept first! First we will assume that the present age of Meera and her brother are 6x and 5x respectively. Then, four years ago ( which means four will be substracted from the present ages ), the ratio of their ages was 4:3. Thus, forming an adequate equation and doing the required calculations, we will find the value of x. After that we will substitute tye value of x in their respective ages to find the present age of both.

Let's find out...✧

Let the the present age of Meera and her brother be 6x and 5x respectively.

Four years ago,

➛ 6x - 4

➛ 5x - 4

According to the question,

➤ (6x - 4)/(5x - 4) = 4/3

➤ 3(6x - 4) = 4(5x - 4)

➤ 18x - 12 = 20x - 16

➤ 20x - 18x= - 12 + 16

➤ 2x = 4

➤ x = 4/2

➤ x = 2

Now, substitute the value of x in their respective ages to find their present ages.

➛ Present age of Meera = 6x

➛ Present age of Meera = 6 × 2

➛ Present age of Meera = 12 years

➛ Present age of her brother = 5x

➛ Present age of her brother = 5 × 2

➛ Present age of her brother = 10 years

∴ The present age of Meera and her brother is 12 years and 10 years respectively.

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