SOLUTION: The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original n

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 Click here to see ALL problems on test Question 551133: The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? Please help me solve this!!Found 2 solutions by Alan3354, ankor@dixie-net.com:Answer by Alan3354(31538)   (Show Source): You can put this solution on YOUR website!The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? ---------- t = 10s digit u = 1s digit --------- 10t + u = 2*(t+u) 10u + t = 4.5*(10t + u) ---- Can you finish it? -- PS it's = it is Answer by ankor@dixie-net.com(15747)   (Show Source): You can put this solution on YOUR website!The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. : Let a = the 10's digit Let b = the units digit then 10a + b = the original number : "the value of a two digit number is 2 times the sum of it's digits." 10a + b = 2(a + b) 10a + b = 2a + 2b 10a - 2a = 2b - b 8a = b Pretty obvious, the only value that a can be is 1, to give a single digit value for b 18 is the original number : "If the digits are reversed, the resulting number is 4.5 times the original number." 81 = 4.5(18) 81 = 81