SOLUTION: the difference of the digits of a 2 digit number is 2. the value of the number is 3 less than 5 times the sum of its digits

Question 423635: the difference of the digits of a 2 digit number is 2. the value of the number is 3 less than 5 times the sum of its digits
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

let assume digits unit digit is y and tens digit is x.
case 1: when x-y = 2 (i.e x is greater than y)
10x+y = 5(x+y)-3
=> 10x + y = 5x+ 5y -3
=> 5x -4y = -3
after solving...
x = -11, y = -13
it is not possible...

case 2: when y -x =2 (i.e y is greater than x)

10x+y = 5(x+y) -3

after solving value of x and y.
x = 5, y = 7

so, required number is : 57

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