Question 760554
The setup:
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The three consecutive even integers are A, B & C
Let B = A + 2
Let C = A + 4
{{{5A + 3*(A + 4) = (A + 2) + 80}}}
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Simplify the equation by multiplying the 3 through
{{{5A + 3A + 12 = A + 82}}}
Combine like terms
{{{8A + 12 = A + 82}}}
Subtract A from both sides
{{{7A + 12 = 82}}}
Subtract 12 from both sides
{{{7A = 70}}}
Divide both sides by 7
{{{highlight(A = 10)}}}
Now solve for B & C
{{{B = A + 2}}}
{{{B = (10) + 2}}}
{{{highlight_green(B = 12)}}}
{{{C = A + 4}}}
{{{C = (10) + 4}}}
{{{highlight(C = 14)}}}