Respuesta :

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