Question

The age of A and B are in the ratio 5:3. After 6 vears, their ages will be in the ratio 7:5. What is the
present age of A?​

Answer 1

Answer:

The present age of A is 15 years

Step-by-step explanation:

Ratio of age A and B is 5 : 3

Let the age of A be $5x$ years

Let the age of B be $3x$ years

After 6 years,

Age of A be $5x + 6$ years

Age of B be $3x + 6$ years

Given that after 6 years, the ratio of age of A and B is 7 : 5

Thus, we have

$\frac{5x + 6}{3x + 6} = \frac{7}{5}\\\\ 5(\,5x + 6)\, = 7(\,3x + 6)\,\\\\ 25x + 30 = 21x + 42\\\\ 25x - 21x = 42 - 30\\\\ 4x = 12\\\\ x = 3$

Thus, present age of A $= 5 \times 3 = 15$ years