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Sagot :
Let, number is of the form 10+
10
a
+
b
, then according to question:
+=8
a
+
b
=
8
and digits of 10++9
10
a
+
b
+
9
are equal.
Notice that adding 9
9
to the give number will increase its tens digit by 1
1
and decrease its unit digit by 1
1
. So,
+1=−1⟹+2=
a
+
1
=
b
−
1
⟹
a
+
2
=
b
.
Hence, we have +2+=8⟹=3⟹=5⟹10+=35
10
a
+
b
, then according to question:
+=8
a
+
b
=
8
and digits of 10++9
10
a
+
b
+
9
are equal.
Notice that adding 9
9
to the give number will increase its tens digit by 1
1
and decrease its unit digit by 1
1
. So,
+1=−1⟹+2=
a
+
1
=
b
−
1
⟹
a
+
2
=
b
.
Hence, we have +2+=8⟹=3⟹=5⟹10+=35
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