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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 38
Total: 100
If the number obtained on the interchanging the digits of two-digit number is 18 more than the original number and the sum of the digits is 8 , then what is the original number?
50
51
52
35
Validate
Solution:
Let the unit's digit be
y
and the ten's digit be
x
.
Then, the number is
10
x
+
y
.
Interchanging the numbers, the new number is
10
y
+
x
.
Then,
10
y
+
x
=
10
x
+
y
+
18
⇒
9
y
−
9
x
=
18
⇒
y
−
x
=
2
and given
x
+
y
=
8
Solving
y
=
5
,
x
=
3
Then, the original number is 35 .
© examsnet.com
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