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Andre45 [30]
2 years ago
9

I don't know how to solve this. help please?

Mathematics
2 answers:
iragen [17]2 years ago
8 0

Answer:

51   74

Step-by-step explanation:

x = smaller

x +23 = larger

added together   (x   + x+23)    equal to 28 less than 3x      = 3x-28

x    + x+23  = 3x-28      subtract 2x from both sides of the equation

   23 = x -28      add 28 to both sides

 51 = x      then the larger   =  51 + 23 = 74

ryzh [129]2 years ago
4 0

Answer:

51 and 74

Step-by-step explanation:

Let the smaller of the two numbers be represented by x. The larger of the two numbers is 23 greater than the smaller, and therefore can be written as x + 23.

<h3>Set up an Equation</h3>

First, we can write the sum of the two numbers in terms of the smaller number. "three times the smaller" is 3x, and "28 less" is 3x-28.

Therefore our equation is:

x+x+23=3x-28

<h3>Solve the Equation</h3>

Start by adding like terms

2x+23=3x-28

Subtract 23 from both sides

2x=3x-51

Subtract 3x from both sides

-x=-51

Divide both sides by -1

x=51

The larger term is: x+23\Rightarrow51+23\Rightarrow74

<h3>Check</h3>

51+74=125

3(51)-28=153-28=125

125=125

The smaller number is 51 and the larger number is 74

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