SOLUTION: one number is 3 times another number. Find the numbers if the sum of their reciprocal is 1.

Algebra.Com
Question 511628: one number is 3 times another number. Find the numbers if the sum of their reciprocal is 1.
Found 2 solutions by oberobic, josmiceli:
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!

.

.

.
Multiply through by 3y
.

.

.

.

.
Check the sum of reciprocals.
.

Correct.
.
Answer: One number is 4/3 and the other is 4.
.
Done.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!



Multiply both sides by



and,


The numbers are 4/3 and 4
check:



OK

RELATED QUESTIONS

One number is 5 times another. If the sum of their reciprocal is 6/35, find the two... (answered by Earlsdon)
One number is 2 times another. If the sum of their reciprocal is 1/4, find the two... (answered by stanbon)
c...ch5 one number is 2 times another. If the sum of their reciprocal is (1)/(4), find (answered by ankor@dixie-net.com)
1 number is twice another number, if the sum of their reciprocal is 1/4 find the 2... (answered by unlockmath,MathTherapy)
One number is six times another number. The sum of their reciprocal is seven. Determine... (answered by nyc_function,Alan3354)
One number is 3 times another. If the sum of their reciprocals is 1/5 , find the two... (answered by stanbon)
One number is 3 times another. If the sum of their reciprocals is 1/5 , find the two... (answered by stanbon)
One number is 3 times another. If the sum of their reciprocals Is 1/6, find the two... (answered by alisttutors,jim_thompson5910)
One positive number is 10 less than another positive number. If the reciprocal of the... (answered by ankor@dixie-net.com)