3. In a two digit number, the sum of digits is 13. If
the number is subtracted from the one obtained
by interchanging the digits, the result is 45. What
is the number?
Answers
Answered by
3
Let
The two digits be x and y.
Number is 10x + y
x + y = 13 (given)
y = 13 – x --------------1
A/q
10y + x – (10x + y) = 45
9y – 9x = 45
y – x = 5 --------------2
putting the value of y from equation 1 in eqn 2
13 – x – x = 5
13 – 2x = 5
2x = 8
x = 4✔
y = 13 – 4 = 9✔
The two-digit number = 10x + y = (10 × 4) + 9 = 49.
Answered by
0
Answer:
given, x+y = 13 (which is a 2 digit number)
The combinations of 13 with 2 digits are (4, 9) (5, 8) (6, 7)
Now take,
=> 94 -> 9+4 = 13
and 94-49 = 45 (which is a required answer)
Therefore, the number is 94
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