Question 1062096
Let U = the larger integer
Let V = the smaller 
-
U = V + 2    (1)
UV = 5*U      (2)
—
Subs V+2 for U from (1) into (2):
(V+2)V = 5(V+2)
{{{ V^2 + 2V = 5V + 10 }}}
{{{ V^2 - 3V - 10 = 0 }}}
{{{  (V-5)(V+2) = 0 }}}

{{{ V=5 }}} or {{{ V=-2 }}}
—
#1  V=5  —> U=7
#2  V=-2  —>  U=0
—
Check if either/both make sense:
#1:   5*7 = 35 = 5*5  (ok)
#2:   -2*0 = 0 = 5*0  (ok)
—

Answers:   
#1.   5 and 7
#2.  -2 and 0