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A man is 5 years older than his brother. After 4 years, the sum of their ages will be 45. What is the man's present age?
  1. 20 years
  2. 21 years
  3. 22 years
  4. None of these
Explanation

Let brother's present age = x years

Then man's present age = x + 5 years

After 4 years:

Brother's age = x + 4

Man's age = x + 5 + 4 = x + 9

Sum of ages after 4 years = 45

So, (x + 4) + (x + 9) = 45

2x + 13 = 45

2x = 45 - 13

2x = 32

x = 16

Brother's present age = 16 years

Man's present age = x + 5 = 16 + 5 = 21 years


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