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Answer :

Answer: 120 Pounds

Step-by-step explanation:

Given

The Sum of David and mike weight is 180 pounds

Suppose the weight of David is x and the weight of mike is y

So, [tex]x+y=180[/tex]

Also, subtracting David's weight from Mike's weight, we get half of Mike's weight

[tex]\Rightarrow y-x=\dfrac{y}{2}\\\Rightarrow 2x=y[/tex]

Put the value of x in the above equation, we get

[tex]\Rightarrow 1.5y=180\\\Rightarrow y=120\ pounds[/tex]

Thus, mike Weighs 120 Pounds