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Find the four consecutive even whole numbers in 372

 Mar 30, 2016
 #1
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I'm not sure what your question is. If you mean "what are 4 consesecutive even numbers that ADD up to 372". Here are the 4 numbers that will do that:

90 + 92 + 94 + 96 =372

 Mar 30, 2016
 #2
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Find the four consecutive even whole numbers in 372

 

\(\begin{array}{rcll} \text{Number }~1 ~(n_1) &=& 2\cdot i \\ \text{Number } ~2~(n_2) &=& 2\cdot i +2\\ \text{Number } ~3~(n_3) &=& 2\cdot i +4\\ \text{Number } ~4~(n_4)&=& 2\cdot i +6\\ \end{array}\)

 

\(\begin{array}{rcll} n_1+n_2+n_3+n_4 &=& 372 \\ (2\cdot i) +(2\cdot i +2)+(2\cdot i +4)+(2\cdot i +6) &=& 372 \\ 4\cdot 2\cdot i +2 +4+6 &=& 372 \\ 4\cdot 2\cdot i +12 &=& 372 \quad | \quad -12\\ 4\cdot 2\cdot i &=& 372-12\\ 4\cdot 2\cdot i &=& 360\quad | \quad :4\\ 2\cdot i &=& \frac{360}{4}\\ 2\cdot i &=& 90 \end{array}\)

 

 

\(\begin{array}{rcll} n_1 &=& 2\cdot i \\ n_1 &=& 90 \\\\ n_2 &=& 2\cdot i +2\\ n_2 &=& 90+2 \\ n_2 &=& 92 \\\\ n_3 &=& 2\cdot i +4\\ n_3 &=& 90 +4\\ n_3 &=& 94\\\\ n_4 &=& 2\cdot i +6\\ n_4 &=& 90 +6\\ n_4 &=& 96\\\\ n_1+n_2+n_3+n_4 &=& 372 \\ 90+92+94+96 &=& 372 \end{array}\)

 

laugh

 Mar 30, 2016
 #3
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Make 'x' the lowest number:    x  + (x+2) + (x+4) + (x+6) = 372        4x + 12 =372      4x=360    

x= 90     x+2 = 92      x+4= 94      x+6= 96

 Mar 30, 2016

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