Question

2. 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

Let present age of Rehana be 2x

So,

age of her mother = 7x

After 2 years

age of Rehana = 2X+2

So,

age of her mother = 7x+2

A/Q

$\frac{2x + 2}{7x + 2} = \frac{1}{3} \\ = > 3(2x + 2) = 1(7x + 2) \\ = > 6x + 6 = 7x + 2 \\ = > 6 - 2 = 7x - 6x \\ = > 4 = x \\ = > x = 4$

So,

present age of Rehana = 2x

= 2 x 4

= 8 years

And

present age of her mother = 7x

=7 x 4

= 28 years

Answer 2

Step-by-step explanation:

let's present age of rehana and her mother as

' x ' and ' y ' respectively

given x/y=2/7___equation1

x+2/y+2=1/3 =>3x+6=y+2

$3 \times \frac{2y}{7 } + 6 = y + 2$

==>4=y-6y/7

==>4=y/7=1y=28

x=8 , y=28

Hence, Rehana present age is 8

hope it helped it