The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of James and Dan. How old is each relative

Answers

Answer 1
Answer:

The ages of each relative are 30, 10 and 80 years respectively.

  • Let James' age be J.
  • Let Dan's age be D.
  • Let Paul's age be P.

Translating the word problem into an algebraic expression, we have;

J + D + P = 120 ......equation 1

J = 3D          .......equation 2

P = 2(J  + D)   ......equation 3

Substituting eqn 2 and 3 into eqn 1, we have;

3D + D + 2J + 2D = 120\n\n6D + 2(3D) = 120\n\n6D + 6D = 120\n\n12D = 120\n\nD = (120)/(12)

Dan, D = 10 years

For James;

J = 3(10)

James, J = 30 years.

For Paul;

P = 2(J  + D)

P = 2(30 + 10)\n\nP = 2(40)

Paul, P = 80 years.

Therefore, the ages of each relative are 30, 10 and 80 years respectively.

Read more: brainly.com/question/6463206

Answer 2
Answer:

Answer: Your answer is 60

Step-by-step explanation:


Related Questions

Which equation demonstrates the opposite of a sum property? A. (22 + 10) + 3 = (10 + 22) + 3 B. –5 + 13 = 13 + (–5) C. (12 + (–4)) + 14 = 12 + ((–4) + 14) D. –(–6 + 17) = 6 + (–17)
Please answer! I will make brainliest, give thanks, and a follow!
the diameter of the earth at the equator is about 8,000 mi. Based on this figure ,how far is it exactly around the earth
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How do you solve the equation 5/x= x-4

The perimeter of the cover of a math textbook is 34 inches. if the width of the cover is 7 inches, what is the length of the cover?

Answers

the length would be 10 inches.
to find perimeter, you add length+length+width+width.
since both widths and both lengths have to be the same, u add the width 2 times or 7+7=14.
next u subtract 14 from 34 or 34-14=20. 
since u still have 2 lengths that are equal, u divide 20 by 2 or 20/2=10

hope this helps! :)

A plane flew a total of 2,220 miles. Its average speed was 555 miles per hour. How many hours did the plane fly?

Answers

Ok. I will put my explanation in the answer box because apparently it's not good enough in the comments.

2220 divided by 555 is 4.
We do this equation because we need to find out how many 555 miles go into 2220 miles. The answer is 4, which we need to convert to hours, so it is 4 hours.
1 hour is 555 miles
2 hours are 1110 miles.
3 hours are 1665 miles.
4 hours are 2220 miles which is what we need.

Final answer:

The plane flew a total of 2,220 miles at an average speed of 555 miles per hour. The duration of the flight can be determined by using the formula for time (t = d/v). In our case, the flight took 4 hours.

Explanation:

To calculate the duration of the flight, we can use the following formula for time (t), which is:

t = d/v, where d is the total distance traveled and v is the average speed.

Given our values: d = 2,220 miles and v = 555 miles per hour, plug these into our formula and solve for t (time in hours). So, our calculation becomes: t = 2,220 miles / 555 miles per hour.

The result of this calculation is t = 4hours. Therefore, it took the plane 4 hours to fly a total distance of 2,220 miles at an average speed of 555 miles per hour.

Learn more about Time Calculation here:

brainly.com/question/20416068

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Find m
(-3x + 20)
(-2x + 55)

Answers

Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21

Step-by-step explanation:

Simplifying

(-3x + 20) + (-2x + 55) = 180

Reorder the terms:

(20 + -3x) + (-2x + 55) = 180

Remove parenthesis around (20 + -3x)

20 + -3x + (-2x + 55) = 180

Reorder the terms:

20 + -3x + (55 + -2x) = 180

Remove parenthesis around (55 + -2x)

20 + -3x + 55 + -2x = 180

Reorder the terms:

20 + 55 + -3x + -2x = 180

Combine like terms: 20 + 55 = 75

75 + -3x + -2x = 180

Combine like terms: -3x + -2x = -5x

75 + -5x = 180

Solving

75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

75 + -75 + -5x = 180 + -75

Combine like terms: 75 + -75 = 0

0 + -5x = 180 + -75

-5x = 180 + -75

Combine like terms: 180 + -75 = 105

-5x = 105

Divide each side by '-5'.

x = -21

Simplifying

x = -21

What is 3 8/15 simplified?

Answers

the answer is 53 because when 15 is multiplied to 3 the answer is 45. Then when 45 is added to 8 the answer is 53
answer is 53, because when you 15×3=45, and
45+8=53

URGENT PLEASE ANSWER (NTH TERM), 15 POINTS + BRAINLIEST !! (fibonacci sequence , algebra, simple) *show working out please*

Answers

a) 1 1 2 3 5 8 13 21 34

So, nineth term is 34

b) a+2b+2a+3b=3a+5b

c) a= 3 b= 4

Work is on attachment.

Hope this helped!

Hi can someone please help with this. I will reward

Answers

Answer:

it looks like its all right to me

Step-by-step explanation: