How do I find the numbers adding up to 58 if one of those two numbers is greater by 24?
x + x + 24 = 58
2x = 34
x = ?
34/2=x?
To find two numbers that add up to 58, with one of the numbers being greater by 24 than the other, you can follow these steps:
1. Let's assume the smaller number is x. According to the given condition, the larger number will be x + 24.
2. Set up the equation: x + (x + 24) = 58.
3. Simplify the equation: 2x + 24 = 58.
4. Subtract 24 from both sides: 2x = 58 - 24.
5. Simplify further: 2x = 34.
6. Divide both sides by 2: x = 34 / 2.
7. Solve the equation: x = 17.
8. Substitute the value of x into the expression for the larger number: x + 24 = 17 + 24 = 41.
Therefore, the two numbers that add up to 58, with one being greater by 24, are 17 and 41.