Question

10.
The present ages of Damini and Kangana are in the ratio 3:4. Five years from now the ratio of their
ages will be 4:5, find their present ages.

Answer 1

Step-by-step explanation:

present ages of damini and kangana are in the ratio of 3 ratio 4 let their common multiple X so the age of damini is3x and the age of kangana is 4x

so after 5 years the age of damini is 3 X + 5 and the age of kangana after 5 years is 4 x + 5

so 3 X + 5: 4 x + 5 is equal to 4 ratio 5

on cross multiplying

5(3x+5)=4(4x+5)

15x+25=16x+20

16x-15x=25-20

X=5

So,Damini age=3x=3×5=15

And,kangana age=4x=4×5=20

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Answer 2

|| SOLUTION ||

Let the present age of Damini = 3a

Let the present age of Kangana = 4a

After 5 years , Age of Damini will be = 3a + 5

After 5 years , Age of Kangana will be = 4a + 5

Given,

• 3a +5 : 4a + 5 = 4 : 5

$\implies \: \dfrac{3a + 5}{4a + 5} = \dfrac{4}{5}$

On cross multiplication ,

$5(3a + 5) = 4(4a + 5)$

$15a + 25 = 16a + 20$

$15a - 16a = 20 - 25$

$- a = - 5$

$\therefore \: a = 5$

So , Present age of Damini = 3a = 3×5 = 15 years.

Present age of Kangana = 4a= 4×5 = 20 years.

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