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
fiasKO [112]
3 years ago
9

Five years ago p was 5 times older than l. In ten years l will be 4/7 as old as p. What are the current ages of l and p?

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:\dfrac{110}{13},\dfrac{290}{13}

Step-by-step explanation:

Let a_{I} be the present age of I.

Let a_{p} be the present age of P.

5 years ago P was 5 times older than l.

Age of P 5 years ago is a_{p}-5

Age of I 5 years ago is a_{I}-5

5\times (a_{I}-5)=a_{p}-5\\5a_{I}=a_{p}+20     ....(i)

After 10 years l will be \frac{4}{7} as old as P.

Age of P 10 years after is a_{p}+10

Age of I 10 years after is a_{I}+10

a_{I}+10=\frac{4}{7}\times (a_{p}+10)\\ 7a_{I}+30=4a_{p}     ...(ii)

using (i) and (ii),

7a_{I}+30=4(5a_{I}-20)\\110=13a_{I}\\a_{I}=\frac{110}{13}years

a_{P}=5a_{I}-20=5\times \frac{100}{13}-20=\frac{290}{13} years

You might be interested in
A pizza shop charged $49.57 for 3 large pepperoni pizzas. This price included a $2.50 delivery fee.
jek_recluse [69]

Answer:

$15.69

Step-by-step explanation:

subtract delivery fee: 49.58 - 2.5 = 47.07

divide by amount of pizzas: 47.07 / 3 = 15.69

8 0
3 years ago
Read 2 more answers
What is 7/10 - 1/4 (fraction)
mylen [45]
7/10 - 1/4 use common denominators
28/40 - 10/40 = 18/40 = 9/20
5 0
4 years ago
What is the value of y in the equation 4y – 2(1 – y) = –44?
LekaFEV [45]
Y=-7 use distributive property add like terms 


8 0
4 years ago
At the party, 6/16 of the guest were playing games and 3/8 of the guest were singing.Pat said that the number of guest were play
ziro4ka [17]
Yes.  6/16 simplifies to 3/8, which is the same amount of people singing.
8 0
3 years ago
Read 2 more answers
What is the solution to the equation 6x+ 2 - 9x-1?<br> O X=-3<br> O X=-1<br> O X=1<br> O X-3
Nataly [62]

Answer:

c isyour answer  

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 2. Between which two numbers will “the square root of 10” lie on the number line?
    12·2 answers
  • How to find simple interest rate?
    14·2 answers
  • What is the "middle value" between 10 and 11​
    15·1 answer
  • Negative 5x equals negative 40
    15·1 answer
  • at the beginning of each year for 14 years, sherry kardell invested $400 that earns 10% annually. what is the future value of sh
    5·2 answers
  • The vertex of the graph of y = -4(x + 3)2 + 2 is​
    15·1 answer
  • What is the sum or difference in the simplest form 5 over 12 plus 1 over 3
    14·2 answers
  • 2/3b+5=20-b<br> can someone help me out plz because i keep getting this wrong
    11·1 answer
  • A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
    10·1 answer
  • Find the cumulative frequency ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!