Joey and Romnick play in the same soccer team. Last Saturday, Romnick scored 3 more goals than Joey,

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Joey and Romnick play in the same soccer team. Last Saturday, Romnick scored 3 more goals than Joey,but together they scored less than 9 goals. What are the possible number of goal Romnick scored?

Let j be Joey's goals
Let r by Romnick's goals

We're given 1 equation and 1 inequality:

1. r = j + 3
2. r + j < 9

Rearranging equation 1 for j, we have:

1. j = r - 3
2. r + j < 9

Substitute equation (1) into inequality (2) for j:
r + r - 3 < 9
2r - 3 < 9

Typing this inequality into our math engine, we get:
r < 6