Answer:
a = 1, b = 4
Step-by-step explanation:
You have worked out part (a) correctly, that is
0.7575... =
= 
(b)
+
=
=
Multiply numerator/ denominator of
by 2, thus
=
, then
=
, thus
6a + 11b = 50
Choose a = 1 ( a positive integer ), then
6(1) + 11b = 50
6 + 11b = 50 ( subtract 6 from both sides )
11b = 44 ( divide both sides by 11 )
b = 4
a = 1, b = 4, so
+
= 