Find the integers if the sum of three consecutive even integers is 114

racmanovcf
2022-10-22
Answered

Find the integers if the sum of three consecutive even integers is 114

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Bobby Mcconnell

Answered 2022-10-23
Author has **8** answers

Let x be the smallest of these three numbers.

The next even number is, obviously, x+2.

The third one is x+4.

So, x+(x+2)+(x+4)=114 or 3x+6=114

From this equation we derive:

x=36

from which follows:

x+2=38

x+4=40

36,38,40

The next even number is, obviously, x+2.

The third one is x+4.

So, x+(x+2)+(x+4)=114 or 3x+6=114

From this equation we derive:

x=36

from which follows:

x+2=38

x+4=40

36,38,40

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Find a system of homogeneous linear equations for which the space of solutions is exactly subspace of ${R}^{4}$ spanned by the three given vectors.

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