As per the Question :
25=
x
25
=
Remainder =8
=
8
26=
x
26
=
Remainder =0
=
0
So,
=25+8
x
=
25
a
+
8
=26+0
x
=
26
b
+
0
Since, there are two equations and three variables :
=
a
=
b
or the divisors will have to be equal to make this question valid
Therefore,
=25+8−()
x
=
25
a
+
8
−
(
i
)
=26+0−()
x
=
26
a
+
0
−
(
i
i
)
Subtracting (),()
(
i
)
,
(
i
i
)
−=25−26+8−0
x
−
x
=
25
a
−
26
a
+
8
−
0
=0=−+8
=
0
=
−
a
+
8
=−=−8
=
−
a
=
−
8
or =8
a
=
8
Therefore,
=25×8+8
x
=
25
×
8
+
8
=208
x
=
208
=26×8+0
x
=
26
×
8
+
0
=208
x
=
208
Good Luck, Champ!
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