Answer:
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]