The sum of Tony's age and his older brother's age is 29. The difference between their ages is 5 years. How old is Tony?
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@mathstudent55 help please
Let Tony's age = x
Older brother's age = y
The sum of Tony's age and his older brother's age is 29
Means, x + y = 29
The difference between their ages is 5 years.
Means, y - x = 5 [Because, y > x (Older brother is obviously "older" than Tony)]
So, we have 2 equations now:
y + x = 29
y - x = 5
Add these 2 equations.
y + x + y - x = 34
2y = 34
y = 17
Hence, the older brother (y) = 17 years.
Because y - x = 5
17 - x = 5
x = 12
Therefore, y = 17, x = 12.
Hence, Tony is 12 years old. His older brother is 17 years old.