SOLUTION: Two numbers; the first number is 5 times the second number. If the sum of their reciprocal is 6/35, what are the two numbers?

Question 1060534: Two numbers; the first number is 5 times the second number. If the sum of their reciprocal is 6/35, what are the two numbers?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the larger number
Let = the smaller number
--------------------------------
(1)
(2)
---------------------------
Substitute (1) into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
--------------------
The 1st number is 35
The 2nd number is 7
---------------------
check:
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
One number is 5 times another. If the sum of their reciprocal is 6/35, find the two... (answered by Earlsdon)

. The sum of two numbers is 15. If twice the first number is added to thrice the second (answered by josgarithmetic,Veektor)

the sum of two numbers is 35. Three times the first number is 9 more than the second... (answered by josgarithmetic)

In Exercises 2-6, find two positive numbers that satisfy the given requirements. The... (answered by stanbon)

the sum of two number is 35. twice the first number is equal to 5 times the second... (answered by greenestamps)

the sum of two numbers is 13. two times the first number minus three times the second... (answered by EMStelley)

the sum of two number is 13. two times a second number minus three times the second... (answered by ankor@dixie-net.com)

The sum of two numbers is 28. The first number is 8 less than 5 times the second number. (answered by Fombitz)

Two numbers have a sum of 70, and 5 times the first number minus the second number is... (answered by ikleyn)