The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Question
What are the two numbers? Enter the answers in the boxes.
The greater number is x = 40 and the lesser number is y = 22.
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Question
What are the two numbers? Enter the answers in the boxes.
The greater number is x = 40 and the lesser number is y = 22.
To find the two numbers, we can set up a system of equations using the given information.
Let x be the greater number and y be the lesser number.
From the first piece of information, we know that the difference between the two numbers is 18. So, we can write the equation:
x - y = 18
From the second piece of information, we know that the sum of the two numbers is 62. So, we can write the equation:
x + y = 62
Now we have a system of two equations:
x - y = 18
x + y = 62
To solve this system, we can use the method of elimination or substitution.
Let's use the method of elimination. We can add the two equations together to eliminate the variable y:
(x - y) + (x + y) = 18 + 62
2x = 80
x = 40
Now, substitute the value of x back into one of the original equations to find y:
x + y = 62
40 + y = 62
y = 62 - 40
y = 22
Hence, the two numbers are 40 and 22.