SOLUTION: the tens digit of a two digit number is half of the units digit. when the digits are reversed the number is increased by 36 find the number
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Question 840500: the tens digit of a two digit number is half of the units digit. when the digits are reversed the number is increased by 36 find the number Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website! let w = ones digit
t = the 10's digit
t = (1/2)w
wt = tw + 36
(w*10)+t = (t*10) + w + 36
Substitute (1/2)w for t in above
(w*10)+(1/2)w = ((1/2)w*10) + w + 36
(10 1/2)w = 5w + w + 36
(10 1/2)w = 6w + 36
add -6w to each side
(4 1/2)w = 36
(9/2)w = 36
multiply each side by 2/9
w = (2/9)36
w = 72/9
w = 8
Since t = (1/2)w, t = 4
Let's check.
Since our number is tw , the number is 48
84 = 48 + 36 so we pass the reversed digit check.
