Question

For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What
are the 2 integers?
A. 18, 19
В.
19, 20
C. 20, 21
D. 26, 27
E. 39,40

Answer 1

Let the two consecutive integers be \( x \) and \( x + 1 \). According to the problem, the equation can be set up as follows:

\[
x + 3(x + 1) = 79
\]

Now, simplify the left side:

\[
x + 3x + 3 = 79
\]
\[
4x + 3 = 79
\]

Next, subtract 3 from both sides:

\[
4x = 76
\]

Now, divide by 4:

\[
x = 19
\]

Thus, the two consecutive integers are \( 19 \) and \( 20 \).

So the answer is:

**B. 19, 20**