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we are being taught to do (eg. x+ (x+2) + (x+4) ) but I dont know how to get the numbers 72,74, and 76

we are being taught to do (eg. x+ (x+2) + (x+4) ) but I dont know how to get the numbers-example-1

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You can write three consecutive even numbers as follow:

2x, 2(x + 1), 2(x + 2)

Considert that the sum of the first number and the second one is 146, then, you have:

2x + 2(x + 1) = 146

Solve the previous equation for x, as follow:

2x + 2x + 2 = 146 simplify like terms left side

4x + 2 = 146 subtract 2 both sides

4x = 146 - 2

4x = 144 divide by 4 both sides

x = 144/4

x = 36

Next, replace the previous value of x into the expressions for the even numbers:

2x = 2(36) = 72

2(x + 1) = 2(36 + 1) = 74

2(x + 2) = 2(36 + 2) = 76

Hence, the even numbers are 72, 74 and 76

User Vytautas Butkus
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