its about mathematics.?

Question

how can i find 2 numbers whose difference is 15 and whose sum is 53?... The sum of 2 integers is 51. The larger integer is 3 more than twice the smaller integer. Find the integer... In 3 years, Alex will be 3 times as old as his sister Precy. A year ago, Alex was 7 times as old as Precy. How old are they now?.... If the larger of 2 numbers is subtracted from 6 times the smaller, the result is 20. If twice the larger number is added to 4 times, the smaller the result is 56. Find the numbers... For 100, i ca buy 4 chicken pes and 12 banana cakes and 10 chicken pies. how much does one of each kind cost?

Answer 1

Well, i just used system of equations on most of them:
1) x+y=53 x=53-y ----> 53-y-y=15
x-y=15 38=2y
x+19=53 19=y
x=34
2) x+y=51 2y+3+y=51 x+16=51
2y+3=x 3y=48 x=35
y=16

3)Uhhh.. I cheated and just charted it out, the answer is 3 and 15 at the present time.

4)6y-x=20 >> 6y-20=x >> 2(6y-20)+4y=56
2x+4y=56 12y-40+4y=56
16y=96
6(6)-x=20 << y=6
36-x=20
16=x

5) There's really not enough information to do it algebraically, so I think all you can really do is guess and check. So it could be: $5, $5, and $2 or it could be $6, $3, and $4 or it could be $8, $4, and $2. There's multiple answers.

Answer 2

I can't answer all your questions, but I'll show you how to do the first one.
A+B=53
A-B=15
Solve for A in the first equation
A=53-B
Substitute your new definition for A into the second equation
(53-B)-B=15
53-2*B=15
Add 2 B to both sides
53=15+2B
Subtract 15 from both sides
38=2B
Divide both sides by 2
B=19
Now substitute this definition of B into one of the first equations
A+19=53
A=34
Your answer is 19 and 34
If you're trying to get other people to do your homework you'd probably be better off if you try to find the teacher's edition of the textbook you're using online. You might even find a used copy for very little.

Answer 3

Take one question. The difference of two numbers is 15. Now you need to convert it into mathematical expression. Let the unknon two numbers be x and y. Their difference is x-y. As per the problem the difference is 15. so, x-y=15.........(1)
Similarly, x+y=53.........(2)
add (1) and (2), we get 2x=68
x=34
substitute x=34 in (2)
34+y=53
y=53-34
y=19
Hence the two numbers are 34 and 19.
Like this, first you convert the word problem into mathematical expressions and then solve the expressions. At the end interpret the results in words. Practise this. If any problem take the help of a tutor.

Answer 4

hi: I used to hate math till I observed the prepare Donald Duck in Math magic land and study a e book entitled "arithmetic interior the Making" by employing Lancelot Hog den ( an exceedingly good e book on How math replaced history and how it used in in the present day's cases) and the time life e book sequence entitled "arithmetic" . After that i grew to become into addicted to Math , I discovered, it regulations the international and without it. present day life as all of us know might grind to a halt. puzzling to believe that a number of the main present day invention are a effect of arithmetic , Engineering relies upon on it. even with the incontrovertible fact that that's relaxing and beautiful all at that sometime. i think your precise approximately why arithmetic is hated. yet whilst human beings want a answer approximately How a lot or the place there are at . arithmetic comprises the rescue human beings. i'm hoping this facilitates

Answer 5

Do your own homework. I hate people who ask for answers to their homework.

Answer 6

wow - u dont understand math - Do You?
Me neither (atleast not tis question)

Answer 7

This is your homework isn't it ;)
I really think you're meant to do it your self.