The product of the digits in a two digit number is 18. The number formed by interchanging the digits of that number will be 27 more than the original number. Find the original number?
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original number is = 36
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Answer:
Let's say the digits of numbers are x,y
Where x is at tens place and y is unit digit
Number = 10x + y
Reverse of this number will be 10y + x
According to the question
10x + y +27 = 10y + x
9x + 27 = 9y
9 (x + 3) = 9y
x + 3 = y
Also x*y = 18
x*(x+3) = 18
The value of x that satisfies this equation is 3
Therefore x = 3, y = x + 3 = 6
Number = 10x + y
original number is = 36
Step-by-step explanation:
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