Question

The ratio of ages (in years) of A and B , 9 years ago, was 23:12. The ratio of their ages after 15 years will
be 35:24. What is the ratio of present ages of A and B ?
05:4
O 5:3
04:3
03:2
​

Answer 1

Answer:

5 :3

Step-by-step explanation:

as attached solve the question

Answer 2

Answer: The ratio of present ages of A and B will be 5:3.

Given: It is given that 9 years ago, the ratio of ages of A and B was 23:12. After 15 years, the ratio of their ages will be 35:24.

To Find: We have to find the ratio of present ages of A and B.

Step-by-Step Explanation: Let the age of A 9 years ago be $23x$

And, the age of B 9 years ago be $12x$

So, the present age of A is $23x+9$

And, the present age of B is  $12x+9$

Age of A after 15 years will be $23x+9+15=23x+24$

Age of B after 15 years will be $12x+9+15=12x+24$

Step 1: According to question,

$\frac{23x+24}{12x+24}$ = $\frac{35}{24}$

$552x+576=420x+840$

$132x=264$

$x=2$

Ratio of their ages will be = $(23\times2)+9:(12\times2)+9$

                                           = $55:33$

                                           = $5:3$

To know more about Ratio and Ages, refer to the links below:

https://brainly.in/question/21615434

https://brainly.in/question/52713487

#SPJ3