Question

Arthur weighs 10 lb more than twice Lily’s weight. If Arthur gains 10 lb, together they’ll weigh 230 lb. How much does each weigh now?

Answer 1

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:

• (2L + 10 + 10) + L = 230

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.