Question

rahul and laxmi's ratio of ages are 5:7. After four years their total ages are 56years. what the present ages of them?

Answer 1

Let the ages of Rahul and Laxmi's be 5x and 7x respectively.

Four years later their ages will be (5x + 4) and (7x + 4).

Given that After four years their total ages = 56 years.

(5x + 4) + (7x + 4) = 56

5x + 4 + 7x + 4 = 56

12x + 8 = 56

12x = 48

x = 48/12

x = 4.


Therefore the present age of Rahul = 5 * 4
            
                                                            = 20 years.


Therefore the present age of Laxmi = 7 * 4

                                                             = 28 years.



Verification:

5(4) + 4 + 7(4) + 4 = 56

20 + 4 + 28 + 4 = 56

24 + 32 = 56

56 = 56.


Hope this helps!