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strojnjashka [21]
4 years ago
9

Paul is six years older than Gary. The sum of their ages is 30. What are their ages?

Mathematics
1 answer:
PolarNik [594]4 years ago
4 0

Answer: Paul is 18 years old and Gary is 12 years old.

Step-by-step explanation:

Let x represent the age of Paul.

Paul is six years older than Gary. This means that Gary's age would be

x - 6

The sum of their ages is 30. This means that

x + x - 6 = 30

2x - 6 = 30

Adding 6 to the left hand side and the right hand side of the equation, it becomes

2x - 6 + 6 = 30 + 6

2x = 36

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 36/2

x = 18

Therefore, Paul is 18 years old.

Gary is 18 - 6 = 12 years old.

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