Question

Present ages of Manu and Vinu are in the ratio 2:3. Six years from
now the ratio of their ages will be 7:9. Find their present ages.

Answer 1

Step-by-step explanation:

Let the age of Manu be 5x and Vinu be 7x.

4 years later,

Age of Manu = 5x + 4

Age of vinu = 7x + 4

According to the question,

7x+4

5x+4

=

4

3

⇒ 4(5x + 4) = 3(7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 21x - 20x = 16 - 12

⇒ x = 4

Manu age = 5x = 5×4 = 20 years

Vinu age = 7x = 7×4 = 28 years

Hope it is help for you

Answer 2

Answer:

Step-by-step explanation:

2x+6    7

------- = ---

3x+6    9

=9(2x+6)=7(3x+6)

=18x+54=21x+42

=18x-21x=42-54

=-3x=-12

=3x=12

=x=12/3

=x=4

now ATQ,

manu age=2x=2*4=8years

vinu age=3x=3*4=12years