Question

find a linear equation to solve for the following unknown quantities: one number exceeds another number by 25 and their sum is 57. find the two numbers.

(seperate answers with a comma.)

Explanation:

Translate the word problem into algebraic expressions

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK0
$$

Set up the linear equation using the sum

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK1
$$

Solve for the smaller number

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK2
$$

Find the larger number

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK3
$$

Verify the solution

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK4
$$

Answer:

Find a linear equation to solve for the following unknown quantities: One number exceeds another number by 25 and their sum is 57. Find the two numbers.

<blank>16, 41</blank> (Seperate answers with a comma.)