Find two consecutive integers whose sum is 67. Which of the following equations could be used to solve the problem? 2x = 67 2x + 1 = 67 2x + 2 = 67 x2 + 1= 67
x + (x+1) = 67
^ ^ Integer 2
Integer 1
By simplifying, we get 2x + 1 = 67. Therefore, either "2x + 1 = 67" or "x2 + 1= 67" can be used.
Your answer by solving for 'x' would be:
2x=66
x=33
Therefore, (x+1)=34
Hence, the 2 consecutive integers are 33 and 34. When added together, they equal 67, and they are consecutive (34 is 1 larger than 33).
Let
x--------> the first consecutive integer
x+1-----> the second consecutive integer
we know that
\(x+(x+1)=67\\2x+1=67\)
therefore
the answer is
\(2x+1=67\)