Answer :

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Andy's bike weighs 18 pounds and Barry's bike weighs 24 pounds because 42 divided by 2 equals 21 then you subtract 3 from Andy and add 3 to Barry's bike and it will equal 24

Answer:

24 pounds.

Step-by-step explanation:

Barry's bike: [tex]B[/tex]

Andy's bike: [tex]A[/tex]

According to the problem:

[tex]B=6+A[/tex]; because Barry's weighs 6 pounds more.

And:

[tex]B+A=42[/tex]; because together they weigh 42 pounds.

So, replacing the first equation into the second expression, we have:

[tex](6+A)+A=42\\6+2A=42\\2A=42-6\\A=\frac{36}{2}=18[/tex]

Andy's bike weighs 18 pounds.

Therefore, Barry's bike would weigh:

[tex]B=6+18=24 \ pounds[/tex]

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