SOLUTION: On my Precal 20 test there was this question:
Two numbers equal 32. Their reciprocals equal 1/6. What are the two numbers?
I came up with two equations:
X+Y=32 and of course 1/X
Algebra.Com
Question 813468: On my Precal 20 test there was this question:
Two numbers equal 32. Their reciprocals equal 1/6. What are the two numbers?
I came up with two equations:
X+Y=32 and of course 1/X+1/Y=1/6 but no matter what I do the question seems impossible.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x + y = 32
y = 32 - x
--------------
1/x + 1/y = 1/6
1/x + 1/(32 - x) = 1/6
6x(32-x) * [1/x + 1/(32 - x)] = 6x(32-x)*(1/6) ... multiply both sides by the LCD to clear out the fractions
6(32-x) + 6x = x(32-x)
192 - 6x + 6x = 32x - x^2
192 = 32x - x^2
0 = 32x - x^2 - 192
32x - x^2 - 192 = 0
-x^2 + 32x - 192 = 0
-1*(-x^2 + 32x - 192) = -1*0
x^2 - 32x + 192 = 0
(x-8)(x-24) = 0
I'll let you finish up. Don't forget to check any possible answers you get.
RELATED QUESTIONS
The difference between two numbers is 8 and twice the sum of their reciprocals are equal... (answered by amarjeeth123)
two positive numbers have a difference of 2. their reciprocals have a sum of 20/21. what... (answered by Fombitz)
Two positive numbers have a difference of 2. Their reciprocals have a sum of 20/21. What (answered by mananth)
The smaller of two numbers is two-thirds of the larger, and the sum of their reciprocals... (answered by Theo)
Please help with solving this...I can't seem to get the fractional part correct.
One... (answered by stanbon)
The smaller of two number is two-thirds of the larger, & the sum of their reciprocals is... (answered by ankor@dixie-net.com)
If the sum of 2 numbers is -14 and their product is 32, what are the numbers?
Let x =... (answered by Alan3354)
True or False: The sum of the reciprocals of two positive numbers is equal to the... (answered by jim_thompson5910)
Two numbers added together equal 22, and their difference is 12. what are the... (answered by srinivas.g)