1.

Prakruthi’s age is 6 time Sahil’s age. After 15 years prakruthi will be 3 times as old as Sahil. Find their age.

Answer»

Let Sahil’s present age be x. Prakruthi’s present age is 6x, 15 years later Sahil age will be (x + 15) years and Prakruthi age will be (6x + 15) years. 

Given that Prakruthi age will be 3 times as old as Sahil. 

∴6x+15 = 3(x+15) 4 

6x+ 15 = 3x + 45 

6x – 3x = 45 – 15 

3x = 30 

x = \(\frac{30}{3}\)= 10 

Sahils age = x = 10 years Prakruthis age = 6x = 6 x 10 = 60 years



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