Question

one number exceeds another by 10. the sum of the numbers is 44. what are the numbers? the numbers are . (use a comma to separate answers.)

Explanation:

Step1: Let the smaller number be $x$.

The larger number is $x + 10$.

Step2: Set up an equation based on the sum.

$x+(x + 10)=44$.

Step3: Simplify the left - hand side of the equation.

$2x+10 = 44$.

Step4: Subtract 10 from both sides.

$2x=44 - 10$, so $2x=34$.

Step5: Divide both sides by 2.

$x=\frac{34}{2}=17$.

Step6: Find the larger number.

The larger number is $x + 10=17+10 = 27$.

Answer:

17,27