One number exceeds another by 24. The sum of the numbers are 58. What are the numbers?
You've had several answers to your posts under various aliases.
Now it's your turn. I'll be glad to check your answer.
Well I'm noticing a certain sexist trent with whom gets answered first. So I figured I'd just go with then flow.
To solve this problem, let's assign variables to the two numbers. Let's call the first number "X" and the second number "Y".
According to the given information, one number (X) exceeds the other number (Y) by 24. This can be mathematically expressed as:
X = Y + 24 (Equation 1)
Also, the sum of the two numbers is 58. This can be expressed as:
X + Y = 58 (Equation 2)
Now, we can solve these two equations simultaneously to find the values of X and Y.
Substitute the value of X from Equation 1 into Equation 2:
(Y + 24) + Y = 58
Combine like terms:
2Y + 24 = 58
Subtract 24 from both sides:
2Y = 58 - 24
2Y = 34
Divide both sides by 2:
Y = 34 / 2
Y = 17
Now, substitute the value of Y back into Equation 1 to find X:
X = Y + 24
X = 17 + 24
X = 41
Therefore, the two numbers are 17 and 41.