Answer:
The integers are, 30 and 31
Step-by-step explanation:
Given the statement: Two consecutive integers have a sum of 61 .
Let x and x+ 1 are the two consecutive integers.
then;
as per the given condition we have;
[tex]x +(x+1) = 61[/tex]
Combine like terms;
[tex]2x+1 = 61[/tex]
Subtract 1 from both sides ;
[tex]2x + 1-1 = 61 -1[/tex]
Simplify:
2x = 60
Divide both sides by 2 we get;
x = 30
and
value of x+1 = 30+1 = 31
Therefore, the integers are, 30 and 31.
