SOLUTION: the difference between the digits ofa two digit number is 1.the number itself is 1 more than 5 times the sum of its digits.if the units digit is greater than the tens digit.find th

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Question 724100: the difference between the digits ofa two digit number is 1.the number itself is 1 more than 5 times the sum of its digits.if the units digit is greater than the tens digit.find the number.
Answer by lwsshak3(11628) About Me  (Show Source):
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the difference between the digits ofa two digit number is 1.the number itself is 1 more than 5 times the sum of its digits.if the units digit is greater than the tens digit.find the number.
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let u=units digit
let t=tens digit
u-t=1, u=(1+t)
10t+u=5(u+t)
10t+1+t=5u+5t
10t+1+t=5(1+t)+5t
10t+1+t=5+5t+5t
t=4
u=1+t=5
number=45