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Question 550870: The units digit of a certain 2 digit number is one more than 4 times the tens digit. The number formed by interchanging the digits is 6 more than 3 times the original number. Find the original number. Please help me with this question!
Answer by mathstutor458(57)   (Show Source):
You can put this solution on YOUR website! Given,
The units digit of a certain 2 digit number is one more than 4 times the tens digit.
so the tens digit should be 1 or 2.if you take 3,four times 3 is 12(two digit number which is not possible).
so, the number may be 15 or 29 (one more than 4 times the tens digit).
take number 15, interchange 15 then you get 51.
51= 3*15 +6
which is 6 more than 3 times the original number.
It satisfies our requirement. so, the answer is 15.
29 will not satisfy our requirements,interchanged number is 92 = 29 *3 + 5
it is only 5 more than 3 times the original number.
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