Final answer:
To find the value of the lesser integer in a consecutive integer problem, we set up an equation and solve for the variable.
Step-by-step explanation:
Let's represent the lesser integer as x and the next consecutive integer as x+1.
According to the problem, 3 times the next consecutive integer is equal to the sum of the lesser integer and 23. So, the equation will be 3(x+1) = x + 23.
Simplifying the equation, we get 3x + 3 = x + 23.
By solving the equation, we find that x = 10.
Therefore, the value of the lesser integer is 10.
Learn more about Consecutive Integer Problems