1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
1 year ago
6

30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now

Mathematics
1 answer:
barxatty [35]1 year ago
5 0

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

You might be interested in
Agiven line has the equation 10x+27-2
bagirrra123 [75]

Answer:

y=7 so all of the y's are 7 but the last one is 4

8 0
3 years ago
Y
mina [271]

Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

k=64

find y when x=8

y=64/8

y=8

3 0
2 years ago
It took Fred 17 days to save $36.55. At that rate, how long would it take him to save $70.95?
Vlad1618 [11]

Answer:

Fred would take 33 days to save $ 70.95.

Step-by-step explanation:

The number of days (t) is directly proportional to the quantity of money saved (c), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:

t = 17\,d\,\times \frac{\$\,70.95}{\$\,36.55}

t = 33\,d

Fred would take 33 days to save $ 70.95.

4 0
3 years ago
What is 2,400 milliliters converted into liters
BARSIC [14]

Answer:

2.4 liters

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify<br> x + x + y x y?
saw5 [17]

Answer: 2x+y^2

Step-by-step explanation:

x\:+\:x\:+\:y\:\cdot \:y

x+x+yy

2x+yy

2x+y^2

8 0
3 years ago
Read 2 more answers
Other questions:
  • Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does Olivia need for 18 Balloons? plz work it is due
    11·1 answer
  • Who ever helps me with all theses you will get 50 points​
    14·2 answers
  • Sb please help !!!!!
    5·1 answer
  • Please help what is the area?
    5·1 answer
  • Find the endpoint of the segment with the endpoint of<br> (-4,5) and midpoint of (7.-9)
    9·1 answer
  • Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
    11·1 answer
  • Why can't history be optional because I don’t need anything to do with it if i want to be a vet
    14·1 answer
  • Write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
    9·1 answer
  • Please answer quick! Will give Brainliest, 5 stars, and I will like your answer!!
    9·2 answers
  • I need help ASAP whit this question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!