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Lena [83]
1 year ago
7

Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the la

rgest number. I'm so confused.
Mathematics
1 answer:
nordsb [41]1 year ago
5 0

define the 3 numbers

smallest number = x

middle number = x + 2

largest number = x + 4

write the equation

sum of the smallest number and twice the middle number

\begin{gathered} x+2(x+2) \\ x+2x+4 \\ 3x+4 \end{gathered}

20 more than the largest number

\begin{gathered} x+4+20 \\ x+24 \end{gathered}

equal the expressions

\begin{gathered} 3x+4=x+24 \\ 3x-x=24-4 \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}

the numbers should be 10, 12 and 14

\begin{gathered} 10+2\cdot(12)=14+20 \\ 10+24=34 \\ 34=34 \end{gathered}

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What is the working out for 5x+3=2x+15​
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The solution is x = 4

Step-by-step explanation:

The given equation is a linear equation so it will have only one equation

Given equation is:

5x+3=2x+15​

<u>Subtraction property of equality:</u>

5x+3-3 = 2x+15-3\\5x = 2x+12

<u>Subtraction property of equality:</u>

5x-2x = 2x-2x+12\\3x = 12

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Keywords: Linear equation, variables

Learn more about linear equations at:

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#LearnwithBrainly

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