Question

The ratio of present ages of rehana and her mother is 2:7 after 2 years, the ratio of their ages will be 1:3. What is rehana's present age?

Answer 1

Answer is given above

Answer 2

Answer:

8 years.

Step-by-step explanation:

In the question,

Ratio of present age of Rehana and her Mother is = 2:7

Ratio of Rehana and her mother 2 years later is = 1:3

Now,

Let us say the present age of Rehana = 2x

and,

Present age of her mother = 7x

Age of Rehana, after 2 years = (2x + 2)

Age of Rehana's mother, after 2 years = (7x + 2)

So,

$\frac{2x+2}{7x+2}=\frac{1}{3}\\6x+6=7x+2\\x=4$

Therefore, the present age of Rehana is given by,

2x = 2 x 4 = 8 years.

Hence, the Rehana's present age = 8 years.