beatricalwu

2022-07-24

The numbers on the doors of four adjacent offices are consecutive odd integers. If their sum is 976 find the four office numbers.

autarhie6i

Beginner2022-07-25Added 18 answers

Given that the door numbers are consecutive odd integers

Consecutive odd integers will have a difference of 2

Let the Four Door Numbers are $X,X+2,X+4,X+6$

Given that the sum of the four consecutive integers is 976

$\Rightarrow X+X+2+X+4+X+6=976\phantom{\rule{0ex}{0ex}}\Rightarrow 4X+12=976\phantom{\rule{0ex}{0ex}}\Rightarrow 4X=964\phantom{\rule{0ex}{0ex}}\Rightarrow X=\frac{964}{4}\phantom{\rule{0ex}{0ex}}\Rightarrow X=241$

The Four Office Numbers Are 241 ,243,245,247

Consecutive odd integers will have a difference of 2

Let the Four Door Numbers are $X,X+2,X+4,X+6$

Given that the sum of the four consecutive integers is 976

$\Rightarrow X+X+2+X+4+X+6=976\phantom{\rule{0ex}{0ex}}\Rightarrow 4X+12=976\phantom{\rule{0ex}{0ex}}\Rightarrow 4X=964\phantom{\rule{0ex}{0ex}}\Rightarrow X=\frac{964}{4}\phantom{\rule{0ex}{0ex}}\Rightarrow X=241$

The Four Office Numbers Are 241 ,243,245,247

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