What 2 factors of 2001 have a sum of 98? Thank you
2006-09-27 00:53:02 · 8 answers · asked by dancing queen 2 in Science & Mathematics ➔ Mathematics
2001 = 29*69
29+69 = 98
2006-09-27 01:00:35 · answer #1 · answered by astrokid 4 · 0⤊ 0⤋
Here's how you can find the answer yourself: divide by ascending positive numbers.
Start by dividing 2001 by 1, which gives 2001. Write (1, 2001) on your paper.
2 doesn't divide 2001, but 3 does, giving 667. Write (3, 667) on your paper.
We don't need to test 4, or any other even numbers, because 2 wasn't a factor. Neither, as it turns out, are 5, 7, 9, 11, or 13. How much higher do we have to go? The guide is: you can stop when you reach the square root of your number (2001), which is about 44.7.
So we keep going. We don't have to test 15, because 5 failed as a factor. 17 and 19 don't work. We don't have to test 21, because 7 failed as a factor. Ah, but 23 works! 2001/23 = 87,l so write (23, 87). We don't have to test 25 (because 5 failed) or 27 (because 9 failed), and 29 works: 2001/29 = 69, so write (29, 69) on your paper. Then we keep going until we get to 44, and no more factors work.
Do any of those pairs add to 98? Yes, 29 + 69 = 98. There's your answer. Hope that helps!
2006-09-27 08:22:06 · answer #2 · answered by Jay H 5 · 0⤊ 0⤋
Hi, to solve this question, we have 2 equations:
Let a = first number
and b= second number
(1) a x b= 2001
(2) a+b = 98
Now, it is a matter of solving simultaneous equations.
Ill show you a solution by substitution method,
from (2) we can get b=98-a
substitute this equation to (1)
(1) becomes
a x (98-a) = 2001
98a - a^2 = 2001
which gives -(a-29)(a-69)=0
so a= 29 and b = 69
check: 29*69=2001
29+69=98
cheers!
2006-09-27 09:09:08 · answer #3 · answered by 123456 1 · 0⤊ 0⤋
Oops..... 2001/3 = 667, not 637 and neither 91 nor 7 are factors of 2001 âº
It's 69 and 29.
Doug
2006-09-27 08:08:02 · answer #4 · answered by doug_donaghue 7 · 1⤊ 0⤋
29 and 69.
x=1st number
y=2nd number
x+y=98
xy=2001
y=98-x
x(98-x)=2001
98x-x^2=2001
x^2-98x+2001=0
you can factor this as
(x-69)(x-29)
so the answers are 69 and 29
2006-09-27 08:06:39 · answer #5 · answered by woof! 2 · 0⤊ 0⤋
Your answer is 69 and 29.
2006-09-27 08:28:35 · answer #6 · answered by tennis_queen2008 1 · 0⤊ 0⤋
a+b =98
ab=2001.
Now YOU tell me which formula you would use and what would a and b be. Quick. Ten points and a chocolate waiting for you
2006-09-27 08:00:27 · answer #7 · answered by Rajesh Kochhar 6 · 0⤊ 2⤋
2001/3=637
637/7=91
91 and 7
2006-09-27 08:00:29 · answer #8 · answered by Anonymous · 0⤊ 3⤋