A number is doubled, then decreased by $13.7$.  The result is greater than $125.28$. What is the smallest integer that satisfies this condition?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A number is doubled, then decreased by $13.7$.  The result is greater than $125.28$. What is the smallest integer that satisfies this condition?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
70
A number is doubled, then decreased by $13.7$.  The result is greater than $125.28$. What is the smallest integer that satisfies this condition?
train