SOLUTION: the units of a two digit number is 4 more than the tens digit.IF the no. is 3 less than 4 times the sun of the digits.Find the no.

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Question 203312: the units of a two digit number is 4 more than the tens digit.IF the no. is 3 less than 4 times the sun of the digits.Find the no.
Answer by MathTherapy(10557) About Me  (Show Source):
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Let the tens digit be T. Then the units digit is T + 4.

Therefore, the number is 10(T) + (T + 4), or 10T + T + 4 = 11T + 4.

Since the number is 3 less than 4 times the sum of the digits, then we will have:

(11T + 4) + 3 = 4(T + T + 4), or 11T + 7 = 8T + 16

3T = 9

T = 3

The tens digit is 3, and the units digit is 7 (3 + 4). The number is then highlight_green%2837%29, or, 11T + 4 = 33 + 4 = highlight_green%2837%29.