The sum of two numbers is 50. The larger number is 14 more than the smaller number. What are the numbefs

Answer 1

Let's let x represent the smaller number and y represent the larger number. Then since the sum of the two numbers is 50 , we can write the following equation:

x + y = 50

Then since the larger number (y) is 14 more than the smaller number (x), we can write that :e

x + 14 = y

If we substitute x + 14 for y in our first equation, we can find the value of x (or the smaller number):

x + y = 50

x + x + 14 = 50

Combine like terms and use inverse operations to find the value of x:

2x + 14 = 50

2x + 14 - 14 = 50 - 14

2x = 36

2x/2 = 36/2

x = 18

So the smaller number is 18. Since the sum of the two numbers is 50, the larger number (or y) will be 32.