Question

The sum of two numbers is 49 and their difference is 13. What is the larger number?

Answer 1

Answer:

The sum of two numbers is 49 and their difference is 13. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 49. In other words, x plus y equals 49 and can be written as equation A:

x + y = 49

The difference between x and y is 13. In other words, x minus y equals 13 and can be written as equation B:

x - y = 13

Now solve equation B for x to get the revised equation B:

x - y = 13

x = 13 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 49

13 + y + y = 49

13 + 2y = 49

2y = 36

y = 18

Now we know y is 18. Which means that we can substitute y for 18 in equation A and solve for x:

x + y = 49

x + 18 = 49

X = 31

Summary: The sum of two numbers is 49 and their difference is 13. What are the two numbers? Answer: 31 and 18 as proven here:

Sum: 31 + 18 = 49

Difference: 31 - 18 = 13

Step-by-step explanation: