Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number, and that's my price."
2007-03-22 00:50:24 · 5 answers · asked by ? 2 in Science & Mathematics ➔ Mathematics
While exploring through the trading post, you find someone offering a Ghostkerbomb. When you ask what she wants for it, this is her reply:
"Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number, and that's my price."
How much does she want for the Ghostkerbomb
2007-03-22 00:57:55 · update #1
There is an easy process for finding out the numbers,In fact 12 hours back I had replied the same question to two askers.If you may go through the answers given by me.However,I am repeating the process again for you
Let a and b be the two numbers
Therefore,it is given that
a-b=12 and ab=17
We know that (a+b)^2
=(a-b)^2+4ab
=12^2+4*17
=144+68
=212
Therefore a+b=14.56 [square-rooting both sides]
Now we have the following two equations
a+b=14.56,and
a-b=12
We can now easily find out the value of a and b,which are
13.28 and 1.28 respectively'
now,you can find out your answer easily.
(note - incidentally,the same problem has been answered by me 12 hours back.I am accepting you as my fan,and you may go through the answer )
Therefore,the price is
13.28*100+1.28*50
=1328+64
=1392
2007-03-22 01:17:24 · answer #1 · answered by alpha 7 · 2⤊ 0⤋
I think the two numbers are 13.28 and 1.28
13.28 x 1.28 = 16.998 (which rounded is 17) for the product
13.28 - 1.28 = 12 (so the difference is correct)
Therefore-:
100 x 13.28 = 1328, then
50 x 1.28 = 64
1328 + 64 = 1392 (I think that must be his price....)
2007-03-22 00:53:40 · answer #2 · answered by Doctor Q 6 · 0⤊ 0⤋
It's 1425
2007-03-22 00:53:14 · answer #3 · answered by ritesh s 2 · 0⤊ 0⤋
x-y=12---i
xy=17-->x=17/x--ii
substitute i into ii
x-17/x=12
x^2-12x+17=0
x=13.28, -1.28
y=1.28, -13.28
13.28*100=1328
1328+50*1.28=1392
2007-03-22 00:59:28 · answer #4 · answered by Maths Rocks 4 · 0⤊ 0⤋
what made you so bored u had to ask something like this??
2007-03-22 01:02:27 · answer #5 · answered by Tiger 3 · 0⤊ 0⤋