find two consecutive integers whose sum is 73. which of the following equations could be used to solve the problem? 2x = 73 2x 1 = 73 2x 2 = 73 x2 1= 73
Answer: Second option is correct. i.e. 2x+1=73.
Step-by-step explanation:
Since we have given that
Sum of two consecutive integers = 73
Let the first consecutive integer be x
Let the other consecutive integer be x+1
According to question,
\(x+x+1=73\\\\2x+1=73\\\\2x=73-1\\\\2x=72\\\\x=\frac{72}{2}\\\\x=36\)
so, x+1=36+1=37.
so, the second consecutive integer = 37.
Hence , 36 and 37 are two consecutive integers.
Therefore, Second option is correct. i.e. 2x+1=73.