Question 261765
Setup:
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Notice that each length is given in respect to the shotest piece.
Let A = the length of the shortest piece
Let B = the length of the second piece
Let C = the length of the third piece
Equation 1: {{{B = A + 2}}}
Equation 2: {{{C = 2A - 4}}}
Equation 3: {{{A + B + C = 94}}}


Solution:
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Since we know what B and C equal in terms of A, we can substitute the values into equation 3
Equation 3: {{{A + B + C = 94}}}
{{{A + (A + 2) + (2A - 4) = 94}}}
Combine like terms
{{{4A - 2 = 94}}}
Add 2 to both sides
{{{4A = 96}}}
Divide both sides by 4
{{{highlight(A = 24)}}}

Now we can find the other lengths by replacing A with 24 in equations 1 & 2
Equation 1: {{{B = A + 2}}}
{{{B = 24 + 2}}}
{{{highlight(B = 26)}}}
Equation 2: {{{C = 2A - 4}}}
{{{C = 2*(24) - 4}}}
{{{highlight(C = 44)}}}

Check the answers:
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We can check the answers by placing them back into eqaution 3
Equation 3: {{{A + B + C = 94}}}
{{{24 + 26 + 44 = 94}}}
{{{highlight(94 = 94)}}}