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Paraphin [41]
3 years ago
14

the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the numb

er
Mathematics
1 answer:
swat323 years ago
3 0
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

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7 0
3 years ago
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drek231 [11]

Answer:

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6

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<span>x3 – 9x2 + 5x – 45        NO
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Look at the first 2 terms.  They can be rewritten as x^2(x-9).  Then look at the last 2 terms.  They can be rewritten as 5(x-9).  So, x-9 is the common factor here.   Thus, the original expression becomes:

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