The sum of the digits of a 2 digit number is 7. When the digits are reversed the number is increased by 27. Find the number.
Answers
Answered by
3
Answer:
The two digit number is
25
Explanation:
Let tens digit and units digit of the number be
x
and
y
;
x
+
y
=
7
;
(
1
)
The two digit number is
10
x
+
y
, when reversed,
the two digit number becomes
10
y
+
x
, by given condition,
10
y
+
x
=
10
x
+
y
+
27
or
9
y
−
9
x
=
27
or
9
(
y
−
x
)
=
27
or
(
y
−
x
)
=
3
or
y
=
x
+
3
Putting
y
=
x
+
3
in equation (1) we get,
x
+
x
+
3
=
7
;
or
2
x
=
4
∴
x
=
2
;
y
=
2
+
3
=
5
Hence the two digit number is
25
[Ans]
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