Final answer:
By setting up equations based on the information given, we find that Lily currently weighs 70 lb and Arthur currently weighs 150 lb.
Step-by-step explanation:
To solve the problem presented, we need to set up equations based on the information given. Let's denote Lily's weight as L and Arthur's weight as A.
The problem gives us two pieces of information:
- Arthur weighs 10 lb more than twice Lily's weight: A = 2L + 10.
- If Arthur gains 10 lb, together they will weigh 230 lb: (A + 10) + L = 230.
Using the first equation, we can substitute the expression for A in the second equation:
This simplifies to:
- 3L + 20 = 230
- 3L = 210
- L = 70
Now that we have Lily's weight, we can find Arthur's current weight:
- A = 2(70) + 10
- A = 140 + 10
- A = 150
So, Lily currently weighs 70 lb, and Arthur currently weighs 150 lb.