If the sum of two consecutive integers is 51, what are the numbers?

2 Answers
Feb 1, 2016

The two consecutive integers are 25 and 26.

Explanation:

Divide #51# by #2#.

#51/2=25.5#

Decrease 25.5 to 25, and increase 25.5 to 26.

#25+26=51#

Feb 1, 2016

Let the first number be #x#

Then,the second number is #x+1#

So,
#x+(x+1)=51#

Remove brackets:

#rarrx+x+1=51#

#rarr2x+1=51#

#rarr2x=51-1#

#rarr2x=50#

#rarrx=50/2=25#

Then the second number is #x+1=25+1=26#

So,the two consecutive integers are #25 and 26#