the difference of two numbers is 20 the larger of the two number is 2 more than twice the smaller. what are the two numbers?

x = 38

x = 18

Step-by-step explanation:

Let one number = x

Let the second number = y

x - y = 20

x must be the larger of the two numbers

x = 2y + 2                               Put this equation into the equation above

2y + 2 - y = 20                       Combine

y + 2 = 20                              Subtract 2 from both sides

y = 20 - 2

y = 18

x - 18 = 20                            Add 18 to both sides

x = 38

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step-by-step explanation:

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