1 number is 3 times as large as another. The sum of their reciprocals is 16/3. Find the two numbers.
2006-08-21 12:02:41 · 11 answers · asked by MD 3 in Education & Reference ➔ Other - Education
Hey guys, I am not going to school. It is just a math problem for my son that I thought would be fun to put up here.
2006-08-21 12:10:56 · update #1
HINT HINT HINT:
THE ANSWERS CONTAIN WHOLE NUMBERS.
2006-08-21 12:11:54 · update #2
Infinity is very close, he/she has one correct number to the answer. :o)
2006-08-21 12:13:20 · update #3
The answer does not contain fractions.
2006-08-21 12:29:16 · update #4
1/x +1/3x =4/9
LCD=9x
9x * 1/x + 9x * 1/3x = 9x * 4/9
9 + 3 = 4x
12=4x
3=x
Answer: 3 and 9
2006-08-21 12:52:18 · answer #1 · answered by Anonymous · 1⤊ 2⤋
Let x be one number and 3x the other
1/x + 1/3x = 16/3
(3/3)*1/x + 1/3x = 16/3 Multiply by Lowest Common Denom
3/3x + 1/3x = 16/3 Add fractions
4/3x = 16/3 Multiply both sides by 3x & reduce
4 = 16x Divide both sides by 16 & reduce
x = 1/4
therefore the other number is 3x
3(1/4) equals 3/4
the two numbers are, 1/4 & 3/4
i am pretty confident that is the correct answer, because if you check by adding the reciprocals of these numbers u will get 16/3
Check
4 + 4/3 = 16/3
3/3 * 4 +4/3 =16/3
12/3 + 4/3 = 16/3
16/3 = 16/3
to the gal below me, if you add their reciprocals you will not get 16/3, you will get 1! try it
2006-08-21 12:26:18 · answer #2 · answered by Anonymous · 3⤊ 1⤋
3/4 and 1/4
2006-08-21 12:09:39 · answer #3 · answered by Dave 5 · 0⤊ 2⤋
Let one number be X, and the other is 3x
1/x+1/3x=16/3
3/3x+1/3x=16/3,
4/3x=16/3
x=4
2006-08-21 12:12:03 · answer #4 · answered by piyo006 3 · 0⤊ 1⤋
(3X)+X=16/3
4X=16/3 if we devide bith sides by 4,we get:
X=4/3 and this is the first no.
the other one is 3X which = 12/3 = 4.
so the numbers are : 4/3 and 4
if you add up 4/3 and 4 you get 16/3
2006-08-21 12:34:01 · answer #5 · answered by Anonymous · 0⤊ 1⤋
y = 3x
1/x + 1/y = 16/3
1/x + 1/(3x) = 16/3
x + 3x = 3/16
4x = 3/16
x = 3/64
y = 9/64
3/64 + 9/64 = 3/16
SCREW IT
2006-08-21 12:14:12 · answer #6 · answered by Anonymous · 0⤊ 1⤋
y= 3x
1/y + 1/x = 16/3
use the substitution method to figure out the 2 variables.
2006-08-21 12:11:27 · answer #7 · answered by infiniti1113 3 · 0⤊ 1⤋
The first sentence should give you an equation, and so should the second.
Substitute the terms of one equation in for a variable in the other equation, and you'll be able to solve for one of the variables. Plug that answer in and you'll get the answer for the other variable.
2006-08-21 12:09:59 · answer #8 · answered by Michael 5 · 0⤊ 1⤋
That's not a real question. That's you wanting others to do your homework for you. Go read the book. :-)
2006-08-21 12:08:04 · answer #9 · answered by Funchy 6 · 2⤊ 1⤋
are u rdy for a life of flipping burgers?
2006-08-21 12:09:46 · answer #10 · answered by BinaryKao 1 · 0⤊ 1⤋