Question

The larger of two numbers is 5 more than the smaller number.

If the sum of the two numbers is 39, find the numbers.

Answer 1

The smaller number is 17 and the larger number is 22.

Step-by-step explanation:

Let's solve this problem using algebra.

Let the smaller number be x.

The larger number is then x+5.

The sum of the two numbers is x + (x+5) = 39.

Combining like terms, we get 2x + 5 = 39.

Subtracting 5 from both sides, we have 2x = 34.

Dividing both sides by 2, we find x = 17.

So the smaller number is 17 and the larger number is 17+5 = 22.

Learn more about Solving equations for unknown variables