SOLUTION: a number lies between 10 & 100. the number is 8 times the sum of its digits & when 45 is subtracted from the number the digits are reversed. what is the number?
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Question 887657: a number lies between 10 & 100. the number is 8 times the sum of its digits & when 45 is subtracted from the number the digits are reversed. what is the number?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
U and T, the digits for UNITS and TENS.
The number is some variable . I am only guessing that the number is not 100.
Eight times the sum of its digits:
when 45 is subtracted from the number the digits are reversed:
, think about this one carefully.
Simplify each equation.
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, not seem right.
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Try substituting for T in the first simplified equation.
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Again using 7U=2T, what is T?
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The number is .
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