Question
The present age of Neeraj is two times more than that of Deepak. 7 years hence from now, the age of Neeraj will be twice the age of Prakash at that time. If Deepak is 7 years younger than Prakash, then find the present age of Neeraj.
Solution
Let the present age of Deepak be ‘x’ years Therefore, present age of Neeraj = x + 2x = ‘3x’ years Let, present age of Prakash be ‘y’ years Given, y – x = 7 Or, x = y – 7 Also, (3x + 7) = 2 × (y + 7) Or, 3 × (y – 7) + 7 = 2y + 14 Or, 3y – 21 + 7 = 2y + 14 Or, y = 28 Therefore, x = y – 7 = 21 Therefore, present age of Neeraj = 3x = 3 × 21 = 63 years
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