Odd numbers

The sum of four consecutive odd numbers is 1048. Find those numbers.

Correct answer:

a =  259
b =  261
c =  263
d =  265

Step-by-step explanation:


a+b+c+d=1048
b=a+2
c=b+2
d=c+2

a+b+c+d = 1048
a-b = -2
b-c = -2
c-d = -2

Row 2 - Row 1 → Row 2
a+b+c+d = 1048
-2b-c-d = -1050
b-c = -2
c-d = -2

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c+d = 1048
-2b-c-d = -1050
-1.5c-0.5d = -527
c-d = -2

Row 4 - 1/-1.5 · Row 3 → Row 4
a+b+c+d = 1048
-2b-c-d = -1050
-1.5c-0.5d = -527
-1.3333d = -353.3333


d = -353.33333333/-1.33333333 = 265
c = -527+0.5d/-1.5 = -527+0.5 · 265/-1.5 = 263
b = -1050+c+d/-2 = -1050+263+265/-2 = 261
a = 1048-b-c-d = 1048-261-263-265 = 259

a = 259
b = 261
c = 263
d = 265

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Showing 1 comment:
Math student
Nobody taught me that in school so this is unclear to me





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