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;

Combine like terms;

Subtract 1 from both sides ;

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.