Question

The sum of two numbers is 46. The larger number is 6 more than the smaller number. What are the numbers?

Answer 1

Let the smaller number be \( x \). According to the problem, the larger number is \( x + 6 \).

We know from the problem that the sum of the two numbers is 46, so we can set up the equation:

\[
x + (x + 6) = 46
\]

Now, simplify and solve for \( x \):

\[
2x + 6 = 46
\]

Subtract 6 from both sides:

\[
2x = 40
\]

Now, divide by 2:

\[
x = 20
\]

Now that we have the smaller number, we can find the larger number:

\[
x + 6 = 20 + 6 = 26
\]

Thus, the two numbers are:

- Smaller number: \( 20 \)
- Larger number: \( 26 \)

In conclusion, the numbers are 20 and 26.