Question

the present ages of ruby and reshma is in the ratio 5:6.five years ago the ratio of their ages was 9:11 .find their present ages

Answer 1

Ratio of Ruby and Reshma age=5:6
Let Ratio=5x:6x
Their age 5 years ago=5x-5:6x-5
Their age Ratio that time=9:11
Then A/Q
(5x-5):(6x-5)=9:11
$\frac{5x - 5}{6x - 5} = \frac{9}{11} \\ = 11(5x - 5) = 9(6x - 5) \\ = 55x - 55 = 54x - 45 \\ = 55x - 54x = - 45 + 55 \\ x = 10 \\ ruby \: age = 5x = 5 \times 10 = 50 \\ reshma \: age = 6x = 10 \times 6 = 60 \\ \\ ruby \: age = 50years \\ reshma \: age = 60years \\ thanks$

Answer 2

ruby age = 50 years

Reshma age = 60 years