Question

The difference between the present age of arun and deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is deepaks present age ?

Answer 1

Let 5=5x and 7=7x
Age of Arun and Deepak are 14 years
5x +7x =14
12x =14
14×12
168

Answer 2

Answer: The present age of Deepak is 42 years.

Step-by-step explanation:

Let the age of Arun seven years ago be 5x

Let the age of Deepak seven years ago be 7x

After 7 years,

Present age of Arun would be 5x-7

Present age of Deepak would be 7x-7

According to question, the difference between the present age of Arun and Deepak is 14 years.

So, it becomes,

$7x-7-(5x-7)=14\\\\7x-7-5x+7=14\\\\2x=14\\\\x=\dfrac{14}{2}\\\\x=7\ years$

Hence, the present age of Deepak would be

$7x-7\\\\=7\times 7-7\\\\=49-7\\\\=42\ years$