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mariarad [96]
2 years ago
15

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

r number. Find the two numbers.
Mathematics
1 answer:
SashulF [63]2 years ago
8 0
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

<em><u>Add y to both sides.</u></em>

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

<em><u>Distributive property.</u></em>

30 + 2y + 8 = 3y - 4

<em><u>Combine like terms.</u></em>

38 + 2y = 3y - 4

<em><u>Subtract 2y from both sides.</u></em>

38 = y - 4

<em><u>Add 4 to both sides.</u></em>

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

<em><u>Add 42 to both sides.</u></em>

x = 57

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