<PRE><B>Question 408371</B>
Suppose our two numbers are 5x and 6x. Then,


{{{(5x + 9)/(6x + 9) = 6/7}}}. Cross multiplying,


{{{36x + 54 = 35x + 63}}}


{{{x = 9}}}, so the numbers are 45 and 54.</PRE>