The total ratio representing the age of the three siblings is 4+3+7 = <<4+3+7=14>>14

Halima's age is represented by the fraction 4/14, which means she is 4/14*126 = 36 years old.

Beckhams age, from the total age of the three, is 3/14*126 = <<3/14*126=27>>27

The difference in age between Halima and Beckham is 36-27 = <<36-27=9>>9

# Answer

9
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
9
The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham.
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