Question 883450
numbers are x and x+6.
{{{x/(x+6)=4/7}}}.


You want the sum of the two numbers, so first find x, the smaller number; and then sum the two numbers.


LCD is 7(x+6).
{{{(x/(x+6))7(x+6)=(4/7)7(x+6)}}}
{{{7x=4(x+6)}}}
{{{7x=4x+24}}}
{{{7x-4x=4x+24-4x}}}
{{{3x=24}}}
{{{highlight(x=8)}}}.


The other number is {{{highlight(x+6=8+6=highlight(14))}}}.

Sum of 8 and 14.........!