SOLUTION: A certain two digit number is 2 more than 4 times the units digit. If the digits of the number are interchanged, the resulting number is 10 more than twice the original number. Wha

Question 550871: A certain two digit number is 2 more than 4 times the units digit. If the digits of the number are interchanged, the resulting number is 10 more than twice the original number. What is the original number? Please help me with this question!
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Look at the first part. xy = 4y + 2. Check y values:

y=1 and 4*1 + 2 = 6. Can't be, because that's only 1 digit.
y=2 and 4*2 + 2 = 10. Can't be, because the second digit is 0, not 2.
y=3 and 4*3 + 2 = 14. Can't be.
y=4 and 4*4 + 2 = 18. No
y=5 and 4*5 + 2 = 22. No.
y=6 and 4*6 + 2 = 26. 26 is possible. y is 6 in the result. So check it against the second parameter.

62 = 2*26 + 10 = 62 Yes!

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