Question 282433: the units of a two-digit numeral is 5 more than the tens digit the number is 3 times the sum of its digits.find the numeral Found 2 solutions by dturpin53, solver91311:Answer by dturpin53(1) (Show Source):
You can put this solution on YOUR website! let a be the 10's digit and let b be the units digit.
From the stated problem the units digit is 5 more than the tne's digit or in equation form:
b = a + 5
The number is 3 times the sum of the digits or in equation form we have:
10a + b= 3( a + b)= 3a + 3b
substituting the b value from the first equation into the second we have:
10a + a + 5 = 3a + 3(a +5)= 3a + 3a + 15
11a + 5 = 6a + 15
5a = 10
a = 2
b = a + 5 = 2 + 5 = 7
is this correct, the number is 27, and the sum of digits is 9 and 3*9 = 27
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