Question

The ages of Moni and Nivi are in the ratio 2:3. Ten years from now, their ages will be in the ratio 4:5. What are their current ages?

Answer 1

Answer:

Moni's present age is 10years and Nivi's present age is 15 years

Step-by-step explanation:

Let the age of Moni be x and Nivi be y

ATQ 1-

x:y= 2:3

x/y= 2/3

3x=2y

3x-2y=0 ----------1

ATQ 2-

Ten years from now,

(x+10):(y+10)=4:5

x+10/y+10= 4/5

5x+50= 4y+40

5x-4y= -10---------2

Solving 1 & 2

6x-4y=0

5x-4y= -10

- + +

_______

x=10, Moni's present age

6×10-4y=0

-4y= -60

y=15, Nivi's present age