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Age problem a father is 8 times as old as his son and 4 times as old as his daughter. if the daugther is 4yrs. older than the son, how old is each? pls.... answer this. with representation and a tableif you want.

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Let x= the age of the son.

Therefore 8x=4(x+4)
Then 8x=4x+16
4x=16
x=4

Son is 4
Daughter is 8
Father is 32.

Posted on Dec 10, 2008

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Cory is 6 years older than her sister.Four years ago, she was 4 times as old her sister.how old is cory now?


let c = cory's age now let s = her sisters age now
cory's age now = sisters age + 6 years
=> c = s + 6
4 years ago, cory was 4 years younger ( i.e. c-4) and her sister was 4 years younger (s- 4)
4 years ago cory was 4 times older than her sister
=> c - 4 = 4*(s-4)
We can simplify this to c = 4s - 16 +4 c = 4s - 12
We can then use simultaneous equations to solve the two equations
(i) c = s + 6 (ii) c = 4s - 12
If we multiply both sides of equation (i) by 4 we get (iii) 4c = 4s + 24
We can then subtract equation (ii) from equation (iii) to eliminate the '4s' term => ( 4c = 4s + 24 ) - (c = 4s - 12) => 4c - c = 4s +24 - 4s +12 => 3c = 4s - 4s +36 => 3c = 36 => c = 36/3 => c = 12 => Cory's age now = 12
For clarity: Her sister's age now is of course 6 4 years ago Cory would of been 8 and her sister would of been 2
I hope this helps and good luck! If you have more questions - ask away!
Please take the time to rate this answer
Many Thanks Don.

Sep 13, 2011 | Sunburst My Mathematical Life Single...

1 Answer

Age problem: a father is 32 years old and his son is 5. How many years will pass before the father is 10 years older than the son


Hi

Never.

Even a February 29th Leap Year birthday only rings their ages within 11-12 years of each other.

Aug 27, 2011 | TOPICS Entertainment College Pro...

1 Answer

Alvin is now 20 years older than his son.In 10 years,he will be twice as old as his son's age.What are their present age's?


Christine,
(D=Dad's age, and S=Son's age)

D=S+20 (Dad is 20 years older than Son)
D+10 = 2xS (In ten years Dad will be twice Son's current age)
therefore (by substitution):
S+20+10 = 2xS
S+30 = 2S
2S = S+30
2S-S = 30 (subtract S from both sides)
S = 30 (Son's current age) *answer*
D = S+20
D = 30+20
D = 50 (Dad's current age) *answer*

In ten years, Dad will be 60, which is twice Son's current age of 30.

Please ask for -Gort.















Aug 27, 2010 | Mathsoft Solving and Optimization...

1 Answer

Four years ago allan was three less than twice roys age in 5years allan will be 6yeras older than roy how old are they?


Allan is 19 and Roy is 13.

Solution:

First we have 2 variables, their ages: I used Allan = x & Roy = y
Equation 1: X - 4 = 2*(Y-4) - 3
We can ignore the 5 years in the second part of the statement. Allan will always be 6 years older than Roy whether it be 5 years from now or ten years form now.
Equation 2: X = Y + 6

Substitute Y + 6 for X in equation 1:
X - 4 = 2*(Y-4) - 3 becomes Y + 6 - 4 = 2*(Y-4) - 3
That simplifies to Y + 2 = 2Y - 8 - 3
Rewrite it again: Y + 2 = 2Y - 11
Add 11 to both sides: Y + 13 = 2Y
Subtract Y from both sides: 13 = Y

Now plug 13 in for y in Equation 2
X = Y + 6
X = 13 + 6
X = 19

Oct 08, 2009 | Vivendi Math Blaster Algebra (03763) for...

2 Answers

Age problem


X+X+28=4(X+X)
2X+28=4X+4X
28=8X-2X
28=6X
X=4

The twins are 4 yrs. old. The mother is 32.

Do I pass?

Apr 21, 2009 | Mathsoft StudyWorks! Mathematics Deluxe...

3 Answers

Need parts list for fisher price smart cycle


The child has wrapped the connector cords around one of the pedals of his Fisher Price Smart Cycle and it has completely severed the cord from the cycle. Is there replacement parts for this problem?

Feb 20, 2009 | Fisher Price Computers & Internet

1 Answer

Find thier ages


Edwin is 14. Ruel is 7.

In 3 years Edwin will be 17. Edwin will be 10. (3*10 - 13 = 17)

Let x=Ruel's age now, and 2x=Edwin's age now.

2x+3=3(x+3)-13
2x+3=3x+9-13
2x+3=3x-4
2x+7=3x
7=x

If you are going to post these, the least you could do is rate them as Fixya. :-) Thanks!

Dec 11, 2008 | Computers & Internet

1 Answer

Age problem


Since you have the answer, the easiest way to work with this is to work with real numbers and break it down. What are the knowns?
Rose + 25 = Dad
10 + 25 = 35 (today)
5 years ago, Dad (then 30) was 2x old as Rose will be 5 years from now (+5), or (30/2) -5 = 10

You can also put this into formulas
Rose + 25 = Dad
Dad - 5 = 2 * (Rose + 5)

So, if Dad = Rose + 25, you can substitute one for the other in the 2nd formula, like so:

(Rose + 25) - 5 = 2 * (Rose + 5)
Rose + 20 = 2 * (Rose + 5)
Now, you can solve for Rose and eventually come up with 10

I hope this helps.

Jul 20, 2008 | Computers & Internet

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