3. The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number.
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Answer:
94
Step-by-step explanation:
Let the digits of number be x and y. So the number will be 10x+y.
Reverse digit= 10y+x
Given, 10x+y-10y-x=45
9x-9y=45
x-y=5....EQ1
x+y=13....EQ2
From EQ1 and EQ2,
x=9, y=4
Number= 10x+y=10*9+4=90+4=94
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