SOLUTION: A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number?
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Question 625807: A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number?
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let u=units digit
let t=tens digit
3t=u+11
u=3t-11
..
10t+u=8(t+u)+1
10t+u=8t+8u+1
10t+3t-11=8t+8(3t-11)+1
10t+3t-11=8t+24t-88+1
19t=76
t=4
u=3t-11=12-11=1
number=10t+u=40+1=41
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