SOLUTION: The sum of two positive numbers is 6 times their difference. What is the reciprocal of the ratio of the larger number to the smaller? A) 5/7 B)7/5 C)5/2 D)2/5

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The sum of two positive numbers is 6 times their difference. What is the reciprocal of the ratio of the larger number to the smaller? A) 5/7 B)7/5 C)5/2 D)2/5      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1142873: The sum of two positive numbers is 6 times their difference. What is the reciprocal of the ratio of the larger number to the smaller?
A) 5/7
B)7/5
C)5/2
D)2/5

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-----
sum of two positive numbers is 6 times their difference. What is the reciprocal of the ratio of the larger number to the smaller?
-----

x and y positive
x%3Cy

x%2By=6%28y-x%29
x%2By=-6x%2B6y
7x=5y
7=5y%2Fx
7%2F5=y%2Fx------------ratio of large to small

RECIPROCAL of y%2Fx is x%2Fy, or highlight_green%285%2F7%29.