Question

3. Present ages of Reshma and Soni is 3:4. After five years their
ages are in the ratio 4:5. Find present age of Soni.​

Answer 1

Answer:

So present age of Reshma = 3x = 3 × 5 = 15 years

And present age of Soni = 4x = 4 × 5 = 20 years.

Answer 2

The present age of Soni is 20 years old

Solution:

The ratio of Present ages of Reshma and Soni is 3:4  

Let the present age of Reshma be 3x and that of present age of Soni be 4x

After five years their ages are in the ratio 4:5

Let the age of Reshma after 5 years is 4x + 5

Let the age of Soni after 5 years is 5x + 5

Now we get,

$\frac{\text { Age of Reshma after } 5 \text { years }}{\text { Age of Soni after } 5 \text { years }}=\frac{3 x+5}{4 x+5}=\frac{4}{5}$

On solving  

(3x + 5) × 5 = (4x + 5) × 4

15x + 25 = 16x + 20

25 – 20 = 16x – 15x

x = 5

Now put the value of “x” in present age of Soni

Present age of Soni = 4x  = 4 x 5 = 20 years old

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