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Byju's Answer
Standard XII
Mathematics
Sequence
The two digit...
Question
The two digit number having the unit digit
x
+
5
and ten's digit
x
−
5
is _______.
A
11
x
+
55
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B
11
x
−
45
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C
9
x
−
55
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D
2
x
+
10
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Solution
The correct option is
C
11
x
−
45
In a two digit number,
The unit digit
=
x
+
5
Ten's digit
=
x
−
5
∴
The number
=
1
(
x
+
5
)
+
10
(
x
−
5
)
=
x
+
5
+
10
x
−
50
=
11
x
−
45
.
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0
Similar questions
Q.
In a two digit number, the units digit is x and tens digit is (x+3). What is the sum of the digits in the number?
Q.
A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number?
Step 1 : Let the units digit be x
Step 2 : Then, ten's digit = (9 - x)
∴
Number = 10 x (9 - x) + x
⇒
90 - 10x + x = (90 - 9x)
Step 3 : Adding 27 to the number 90 - 9x, we get 117 - 9x
Step 4 : Number with digits interchanged is 10x + (9 - x) = 9x + 9
Step 5 : 117 - 9x = 9x + 9
Step 6 : Therefore unit's digit = 6 and ten's digit = 3
Step 7 : Hence the number = 36.
Q.
State the following statement is True or False
The digit at ten's place of a two digit number exceeds the square of digit at units place (
x
) by 5 and the number formed is
61
, then the equation is
10
(
x
2
+
5
)
+
x
=
61
.
Q.
The ten's digit of a two digit no. exceeds the units digit by 5. If the digits are reversed, the new number is less by 45. If the sum of their digits is 9, find the nos.
Q.
The two digit number whose ten's digit is t and unit digit is u is ___ .
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