Answer:
24 lbs
Step-by-step explanation:
Let Andy's mountain bike weigh ' a' pounds.
The weight of Barry's mountain bike 6 pounds more than Andy's.
This implies that:
[tex]b = a + 6[/tex]
If their bikes weigh 42 pounds altogether, then
[tex]a + (a + 6) = 42[/tex]
We solve this linear equation:
Group similar terms;
[tex]a + a = 42 - 6[/tex]
[tex]2a = 36[/tex]
[tex]a = \frac{36}{2} [/tex]
[tex]a = 18[/tex]
Therefore
[tex]b = 18 + 6 = 24[/tex]
Barry's bike weigh 24 lbs