Find three consecutive integers such that the sum of the second and the third is 17. Which equation would be used to solve this word problem?
a.) x + (x + 1) + (x + 2) = 17
b.)(x + 1) + (x + 2) = 17
c.)x + (x + 2) + (x + 4) = 17
d.) 2(x + 2) + 3(x + 4) = 17
remember
+x+=+
-x-=+
-x+=- and
+x-=-
a.
X+(X+1)+(X+2)=17
X+X+1+X+2=17
NOTE: If there is no sign with variables (a,b,c ....z) or constant (1,2,3.......) then the sign will be automatically "+"
3X+3=17
3X=17-3
X=14/3
X=4.66666666666666
X=4.67
TRY THE REST AS DIRECTED
To solve this word problem, we can start by representing the three consecutive integers as x, x+1, and x+2.
The sum of the second and the third integer is 17, so we can write the equation as (x + 1) + (x + 2) = 17.
Therefore, the correct equation to solve this word problem is:
b.) (x + 1) + (x + 2) = 17