Translating word problems to algebraic expressions:

One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

The equation is x+24+x=58, so you subtract 24 from 58 and get 34 then add the x's and get 2x=34 or x=17

Answered by MathG33k | 2024-06-10

The two numbers are 17 and 41.
To solve the problem, let's define the two numbers. We'll call the smaller number x and the larger number y.
According to the problem, we have two pieces of information:

One number exceeds another by 24. This can be written as the equation: y = x + 24
The sum of the numbers is 58. This can be written as the equation: x + y = 58

We can use these two equations to find the values of x and y.
First, substitute the expression for y from the first equation into the second equation: x + ( x + 24 ) = 58
Simplify and solve for x: 2 x + 24 = 58 Subtract 24 from both sides: 2 x = 34 Divide both sides by 2: x = 17
Now that we know x, we can find y using the first equation: y = x + 24 y = 17 + 24 y = 41

Answered by NishaPr | 2024-09-16

The two numbers are 17 and 41. The smaller number is defined as x, and the larger number is defined as y. By solving the equations derived from the problem, we find the values for x and y to be 17 and 41, respectively.
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Answered by NishaPr | 2024-10-07