Question

The sum of two numbers is 37. Their
difference is 23. Find the numbers.​

Answer 1

Answer:

let x and y be the numbers

therefore, x +y =37 and x -y = 23

Step-by-step explanation:

adding both equations :

2x = 60

x = 60/2

= 30

Answer 2

The sum of x and y is 37. In other words, x plus y equals 37 and can be written as equation A:

x + y = 37

The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:

x - y = 23

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

x - y = 23

x = 23 + y

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

x + y = 37

23 + y + y = 37

23 + 2y = 37

2y = 14

y = 7

Now we know y is 7. Which means that we can substitute y for 7 in equation A and solve for x:

x + y = 37

x + 7 = 37

X = 30

The sum of two numbers is 37 and their difference is 23. What are the two numbers? Answer: 30 and 7 as proven here:

Sum: 30 + 7 = 37

Difference: 30 - 7 = 23