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Talja [164]
3 years ago
11

Three friends all have ages that are consecutive integers. The sum of their ages is 180. What is the age of the oldest friend?

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Oldest friend=X+2; Middle friend=X+1; Youngest friend=X

X+(X+1)+(X+2)=180

3X+3=180 Subtract 3 from each side.

3X=177 Divide each side by 3

X=59 Youngest friend is 59.

X+2=59+2=61 ANSWER: Oldest friend is 61.

X+2=59+1=60 Middle friend is 60.

CHECK:

Sum is 180

59+60+61=180

180=180

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Using a proportional relationship, we have that:

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<h3>What is a proportional relationship?</h3>
  • A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

y = kx

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Item a:

From the graph, when x = 8, y = 5, hence:

y = kx

5 = 8k

k = \frac{5}{8}

k = 0.625

The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

You can learn more about proportional relationship at brainly.com/question/13550871

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Step-by-step explanation:

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Hope this helps!

7 0
3 years ago
Read 2 more answers
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