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-BARSIC- [3]
3 years ago
9

The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?

Mathematics
2 answers:
rosijanka [135]3 years ago
7 0
There are two unknowns in the problem statement above so we need two equations in order to solve this. The firs expression is that the <span>sum of two numbers is 50.

x + y = 50

The second expression is that the o</span><span>ne number is 10 less than three times the other number. 

x = 10 - 3y

Therefore, the two numbers have values 40 and 10. Hope this answers the question. Have a nice day.</span>
andrew-mc [135]3 years ago
6 0
Ok so its a guessing game

I say its 40+10 because

40-10{one # is 10 less than)=30
10(3){three times the other number}=30

so 40+10=50
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Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

<h3>How to determine the dimensions?</h3>

The given parameters are:

Base = 5(x+3)

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The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

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Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

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1 year ago
[02.03]
SVEN [57.7K]

Answer:

2)  Equation 1 and Equation 2 have the same number of solutions.

Step-by-step explanation:

The two given equations are

1)  15x + 6 = 41                and                   2) 2x + 13 = 28

Solving both equations, we get

Solving (1) :   15x + 6 = 41 ⇒   15x  = 41 -  6 = 35

or, x = 35/15 ⇒ x = 7/3

Solving (2) :   2x + 13 = 28⇒   2x  = 28 -  13  = 15

or, x = 15/2 ⇒ x = 15/2

So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.

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Answer:

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