Question 1052355
set I = one integer
set J = other integer
J - I = 9 so J = 9 + I
I:J = 4:5
{{{I/J=4/5}}}
substitute ( 9 + I ) for J
{{{I/( 9 + I )=4/5}}}
Do cross products
5I = 4 ( 9 + I )
5I = 36 + 4I
add -4I to each side
I = 36
Since J = 9 + I , J = 9 + 36 , J = 45
The integers are 36 and 45