2 numbers add to 200. The first is 20 less than the second.

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2 numbers add to 200. The first is 20 less than the second.

Let the first number be x and the second number be y. We're given:

1. x + y = 200
2. x = y - 20

Plug (2) into (1)
(y - 20) + y = 200

Group like terms:
2y - 20 = 200

Typing this equation into our search engine, we get:
y = 110 <-- This is the larger number

Plug y = 110 into Equation (2) to get the smaller number:
x = 110 - 20
x = 90 <-- This is the smaller number

Let's check our work for Equation (1) using x = 90, and y = 110
90 + 110 ? 200
200 = 200 <-- Good, our solutions check out for equation (1)

Let's check our work for Equation (2) using x = 90, and y = 110
90 = 110 - 20
90 = 90 <-- Good, our solutions check out for equation (2)