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o-na [289]
3 years ago
7

The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are

the numbers
Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be <em>x</em>, <em>y</em>, and <em>z</em>, respectively.

The sum of them is 72. In other words:

x + y + z = 72

The second number <em>y</em> is three times the third number <em>z</em>. So:

y = 3z

And the third number <em>z</em> is eight more than the first number <em>x</em>. So:

z = x + 8

To find the numbers, solve for the system. We can substitute the last two equations into the first:

x + (3z) + ( x + 8) = 72

Substitute again:

\displaystyle x + 3(x+8) + x+8 = 72

Solve for <em>x</em>. Distribute:

x+3x+24+x+8=72

Combine like term:

5x + 32 = 72

Subtract:

5x = 40

And divide:

x=8

Thus, the first number is eight.

And since the third number is eight more than the first, the third number <em>z</em> is 16.

The second number is three times the third. Thus, the second number <em>y</em> is 3(16) or 48.

Our three numbers are 8, 48, and 16.

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Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
Digiron [165]

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

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3 years ago
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Answer:

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Step-by-step explanation:

Subtract 16 from each side, you get -x=-34

multiply each side by -1, you get x= 34

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3 years ago
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denis-greek [22]
Rounded to the nearest whole number it would be 13
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I need help with this.​
r-ruslan [8.4K]

Answer:

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Step-by-step explanation:

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