Question

5 years hence ratio between the ages of Gopi and Sudha will be 4:5 .The total of their present age is 17 years ,what is the present age of Gopi ?​

Answer 1

Answer:

this is correct answer

Answer 2

Let Gopi's age = x & Sudha's age = y

Then according to question, sum of their present ages is 17

So, x+y = 17

By substitution, x = 17 - y

Now, 5 years hence, Gopi's age = x+5 = 17 - y + 5 = 22 - y

And Sudha's age = y + 5

Now, their ratio is 4:5

So,

$\frac{22 - y}{y + 5} = \frac{4}{5} \\ \\ 110 - 5y = 4y + 20 \\ \\ 110 - 20 = 4y + 5y \\ \\ 90 = 9y \\ \\ y = \frac{90}{9} \\ \\ y = 10$

Now, put y = 10 in x + y = 17

$x + y = 17 \\ \\ x + 10 = 17 \\ \\ x = 17 - 10 \\ \\ x = 7$

Hence, Gopi's age (x) = 7 years.

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