One number is 2 times another. If the sum of their reciprocals is , find the two numbers.
2007-02-25 05:36:08 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
One number is 2 times another. If the sum of their reciprocals is 3/8 , find the two numbers.
2007-02-25 05:36:43 · update #1
1/x+1/2x=3/8
3/2x=3/8
x=4
the nos are 4 and 8
2007-02-25 05:43:10 · answer #1 · answered by raj 7 · 0⤊ 0⤋
Let x = the 'another number'
2x = one number
A reciprocal is the number inverted in a fraction.
So, if 'another number' is x, then its reciprocal is 1/x.
Same for the 'one number': the reciprocal of 2x is 1/2x
Now if you take and add the reciprocals in an equation and the answer is 3/8, all you have to do is solve for x.
1/2x + 1/x = 3/8
Can you do this now?
TEACHER
2007-02-25 05:43:00 · answer #2 · answered by CAROL P 4 · 0⤊ 0⤋
1/x + 1/(2x) = 3/8
2/(2x) + 1/(2x) = 3/8
3/(2x) = 3/8
24 = 6x (by cross multipling)
x = 4
Ans 4 and 8
2007-02-25 05:43:07 · answer #3 · answered by Edgard L 2 · 0⤊ 0⤋