Question about Mathsoft Solving and Optimization Extension Pack III (46513) for PC

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Word problems Paul 3 years younger than his friend Peter. In seven years the product of their ages will be five more than the product of their ages five years age. How old are they now? A man is now 42 years old and his friend 33 year old. How many years ago was the man twice as old as his friend was born? Find three consecutive integer such that the product of the first and third integer is 4 less than the square of the second integer. The product of two digit number and its ten's digit 54. Find the number of the sum of the digits when added to the number given a result of 36. Find a three digit number whose ten's digit is 4 times one hundred's digit and the unit's digit is one more than ten's digit. The square of the sum of the digits is 72 more than the number. The legs of a right triangle differ by 2 cm and the hypotenuse i 4 cm than the shorter leg. Find the sides of the triangle. The length of a certain triangle is 4 cm longer than its width and the number of square in its are exceeds 7 times the number of cm in its width by 18. Find its dimensions. The perimeter of one square meter exceeds that if another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each square. A certain number of boys bought a bicycle for 2000.00. One boy later withdrew and sold his share to the boys for 420.00. The share of each boy of his additional cot turned out to be 190.00 less than what each boy originally contributed. How many boys were there originally?

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Examples of common nouns


Nouns that name common (non personal) objects. Cow, house, cat are common nouns. Peter and Paul are personal nouns.Common nouns are not capitalized.

Feb 10, 2015 | Computers & Internet

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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

What is the words of 22 455 786 004


Twenty-two billion, four hundred fifty-five million, seven hundred eighty six thousand and four.

Jun 13, 2011 | Computers & Internet

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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...

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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...

5 Answers

Problem solving Strategy guess and test


The two numbers 3 and 24

3 multiplied by 24 =72
24 divided by 3 =8

Enjoy, and thanks for choosing Fixya!

Mar 20, 2009 | M2K Garfield: It's All About Math Math...

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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