In a two digit number the sum of the digits is 9. If the number is reversed then the new number is 9 less
than 3 times of the original. Then the original number is....
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Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
Number is 27.
Let the unit digit be
x
and tens digit be
y
then
x
+
y
=
9
........................(1)
and number is
x
+
10
y
On reversing the digits it will become
10
x
+
y
As
10
x
+
y
is
9
less than three times
x
+
10
y
, we have
10
x
+
y
=
3
(
x
+
10
y
)
−
9
or
10
x
+
y
=
3
x
+
30
y
−
9
or
7
x
−
29
y
=
−
9
........................(2)
Multiplying (1) by
29
and adding to (2), we get
36
x
=
9
×
29
−
9
=
9
×
28
or
x
=
9
×
28
36
=
7
and hence
y
=
9
−
7
=
2
and number is
27
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