One number is 23 more than another number. The sum of the two numbers is 83.

Find the two numbers.

x + (x+23) = 83 2x + 23 = 83 2x = 83 - 23 = 60 x = 60 / 2 = 30 30 +23 = 53 one is 53 another 30

Answered by mailieng33 | 2024-06-10

**x = 53 and y = 30 **are the required numbers.
Application of linear equation
Let's denote the first number as "x" and the second number as "y".
Since one number is 23 more than the othe r. This can be expressed as an equation:
x = y + 23
The s um of the two numbers is 83;
x + y = 83
We have a system of equations:
x = y + 23 --- i
x + y = 83 -- ii
Using substitution
(y + 23) + y = 83
Combining like terms:
2y + 23 = 83
Subtracting 23 from both sides:
2y = 83 - 23
2y = 60
Dividing both sides by 2:
y = 60/2
y = 30
Substitute the** value of y **back into equation (1) to find x:
x = 30 + 23
x = 53
Therefore, the two numbers are x = 53 and y = 30.
Learn more on **linear equation **here: https://brainly.com/question/2030026
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Answered by abidemiokin | 2024-06-18

The two numbers are 53 and 30, where 53 is 23 more than 30, and their sum equals 83.
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Answered by abidemiokin | 2024-09-30