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3 years ago

The sum of two consecutive even integers is 226. What is the larger integer?

1 answer:

8 0

Hello there!

The larger integer is 114.

x + (x + 2) = 226

Combine like terms

2x + 2 = 226

Subtract 2 from both sides

2x = 224 Divide

x = 112

The two integers are 112 and 114. But they asked us for the lager integer. So 114 is the answer.

I hope this helps! As always, it is my pleasure to help students like you!

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Step-by-step explanation:

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------------------------------------------------------------------------------------

<em>Rough work</em>

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

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The expression becomes

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