SOLUTION: the sum of the digits of two-digit number is 13.twice the ones digits is two more than four times the tens digit.find the number

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Question 325348: the sum of the digits of two-digit number is 13.twice the ones digits is two more than four times the tens digit.find the number
Answer by AAfter Search(61) About Me  (Show Source):
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Let the number be 10x + y
Given, x + y = 13; y = 13 - x
2y = 4x + 2; therefore 2(13 - x) = 4x + 2
26 - 2x = 4x + 2
=> -6x = -24
=> x = 4, hence y = 13 - 4 = 9
Hence, the required two-digit number is 4 X 10 + 9 = 49