can someone help me set this up please...the wording is kinda confusing me :)

Question

texaschic101 · Answer

Half of the largest of 3 consecutive integers is 1/4 of 24 less then thrice the second integer. What are the numbers.

So I have x, x+1 , x + 2
then I have : 1/2(x + 2) = 1/4(3(x + 1) - 24.....Is this correct ?

texaschic101 · Answer

@amistre64 ....please help

texaschic101 · Answer

@ash2326 ...please take a look at this

texaschic101 · Answer

or is it 1/4 of 24, being 24/4 = 6
3(x + 1) - 6 ???

texaschic101 · Answer

@satellite73 ...help me please

texaschic101 · Answer

@ivettef365 ....help

amistre64 · Answer

Half of the largest of 3 consecutive integers 
          is 1/4 
              of 24 less 
                 then thrice the second integer

a, b, c

c/2 = (3b-24)/4

texaschic101 · Answer

so I would multiply the equation by 4...right

amistre64 · Answer

sure ... 

you might want to consider  x-2, x-1, x  as the numbers since it jsut uses x and x-1

texaschic101 · Answer

2c = 3b - 24
wait...I am confused with the c and b.....is c supposed to be x + 2 and b is x + 1 ?

amistre64 · Answer

a,b,c  are the integers for simplicity .... let them be: x-2, x-1, x  so that you done have to do extra workings

amistre64 · Answer

2x = 3(x-1)-24

texaschic101 · Answer

2x = 3x + 3 - 24
2x - 3x = - 21
-x = -21
x = 21

x - 1 = 20
x - 2 = 19
???

amistre64 · Answer

watch your signs ...

texaschic101 · Answer

are they supposed to be x -1 and x - 2 or x + 1 and x + 2 ?

amistre64 · Answer

you decide ... they could just as well be:  x-1,x,x+1  whatever is more convenient for you ....

amistre64 · Answer

a,b,c  are the numbers;  you define them in x terms

texaschic101 · Answer

so x is 21...right ?

amistre64 · Answer

no

amistre64 · Answer

the numbers are: a,b,c

the relationship is:  2c = 3b - 24

you define a,b,c in whatever x terms make you happiest and solve

amistre64 · Answer

if b=x, c=x+1
if b=x+1, c=x+2
if b=x-1, c=x

they all represent the same thing; so pick one and work it thru

texaschic101 · Answer

2c = 3b - 24
2(x + 1) = 3x - 24
2x + 2 = 3x - 24
2x - 3x = -24 - 2
-x = -26
x = 26

x + 1 = 27
is the third number x - 1 ?

amistre64 · Answer

a,26,27 ... a must be 25

amistre64 · Answer

so yes,  in that arrangement;  a = x-1

texaschic101 · Answer

thank you soooo much...your the best

amistre64 · Answer

lol, your welcome