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?
- 20 years
- 21 years
- 22 years
- 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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