Three years ago, the ratio of the age of Rishu and Ankita was 3:4, and after three years it will become 5:6. Find their present age.

Sure, let's solve this step by step.

Step 1: Let's assume the age of Rishu and Ankita three years ago were 3x and 4x respectively.

Step 2: According to the problem, the ratio of their ages after three years from now will be 5:6. So, we can write their ages three years from now as 5y and 6y.

Step 3: But we know that the age three years from now will be the age three years ago plus 6 (because 3 years have passed and we are looking 3 years into the future). So, we can set up the following equations:

3x + 6 = 5y (This is Rishu's age) 4x + 6 = 6y (This is Ankita's age)

Step 4: Now we have a system of two equations, and we can solve it. Let's subtract the first equation from the second one:

4x + 6 - (3x + 6) = 6y - 5y x = y

Step 5: Substitute y = x into the first equation:

3x + 6 = 5x 2x = 6 x = 3

Step 6: Substitute x = 3 into the second equation:

4*3 + 6 = 6y 12 + 6 = 6y 18 = 6y y = 3

Step 7: So, the present age of Rishu and Ankita are 3x+3 and 4x+3 respectively. Substituting x = 3, we get:

Rishu's age = 33 + 3 = 12 years Ankita's age = 43 + 3 = 15 years

So, Rishu is 12 years old and Ankita is 15 years old.