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
seropon [69]
3 years ago
8

mr john has a son and a daughter , the son being 4 years older than daughter.Five years ago the age of mr john was 23 years more

than the sum of ages of his son and daughter. After 18 years from now the age of mr john will be 17 times the difference of ages of his son and daughter.Find their present ages?
Mathematics
1 answer:
jeka943 years ago
6 0

First, let us define our variables.

Let

x = age of the father

y = age of the son

z = age of the daughter

 

5 years ago..

(x – 5) = age of the father

(y – 5) = age of the son

(z – 5) = age of the daughter

 

After 18 years...

(x + 18) = age of the father

(y + 18) = age of the son

(z +18) = age of the daughter

 

From the first condition

y = z + 5 à eqn 1

5 years ago

(x-5) = 23 + (y-5) + (z-5)

x –y –z = 18 à eqn 2

after 18 years

(x+18) = 17*[(y +18 –z – 18)]

x – 17y + 17z = -18 à eqn 3

 

solving the 3 equations simultaneously

x = 67

y = 27

z = 22

 

 

You might be interested in
How would you describe this pattern's rule? 65, 62, 59, 56, 53,50
LiRa [457]
You are subtracting 3 each time. (-3)
6 0
3 years ago
Read 2 more answers
Dak Prescott sucks<br> period <br> i dare you argue
Alexxx [7]

and btw go easy on his injury cowboys! till i die

Step-by-step explanation: my reasons:

The kind of dreams where you wake up and can’t stop smiling.

The smell before and after it rains.

The sound of rain against a rooftop.

The feeling you get when you’re dancing.

The person (or people) that mean the most to you. Stay alive for them.

Trying out new recipes.

The feeling you get when your favorite song comes on the radio.

Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.

7 0
3 years ago
Can someone help me on number one plz. Help me by explaining the steps ;D
harina [27]
0+1=1 
1-0=1
1x1=1
1/1=1
1 is in everything if this didnt help tell me
3 0
3 years ago
Read 2 more answers
Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
n200080 [17]

\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

f(x,y,z)=xy+g(y,z)

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

f(x,y,z)=xy+h(z)

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

so \vec F is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

8 0
3 years ago
How many fifieths would three theths equal
kari74 [83]
45 you need to fix the question for example what does theths mean
3 0
3 years ago
Other questions:
  • How to solve and what is the answer
    10·1 answer
  • What is the definition for associative property of multiplication in your own words and explain how you would use it to compute
    14·2 answers
  • Question 7 (5 points)
    15·2 answers
  • I need an explantion on this question
    9·2 answers
  • Does anyone know the answer to this!?!?
    9·2 answers
  • the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cov
    6·1 answer
  • Write this ratio as a fraction in simplest form without any units
    6·1 answer
  • A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,
    10·1 answer
  • if you rent a full-size car from Quick Car Rental for 1 day how much would the total rental cost be if you drove the car 78 mile
    8·1 answer
  • The store manager put 7 belts in sale. The belts were originally $16. The manager marked down the price of the belts by 40% how
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!