SOLUTION: one of the digits of a 2 digit no is 3 times the other digit.if you interchange the digits of this no it is found resulting is 2times the original no.what is the no?

Question 665465: one of the digits of a 2 digit no is 3 times the other digit.if you interchange the digits of this no it is found resulting is 2times the original no.what is the no?

Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let the smaller digit be x and the larger digit be y. From the problem statement we are given that y = 3x.

The two-digit number is 10x + y, and reversing the digits gives 10y + x. We are told that reversing the digits doubles the original number, so
10y + x = 2(10x + y)

Substituting 3x for y into this equation gives:

10(3x) + x = 2(10x + 3x)
30x + x = 20x + 6x
31x = 26x

There are no non-zero values for x which make this equation true, so there is no solution to this problem as stated.

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