SOLUTION: #The ones digit of a two-digit number is seven less than two times the tens digit. The number is forty-seven less than eight times the sum of the digits. What is the number?
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Question 395605: #The ones digit of a two-digit number is seven less than two times the tens digit. The number is forty-seven less than eight times the sum of the digits. What is the number?
You can put this solution on YOUR website! The ones digit of a two-digit number is seven less than two times the tens digit. The number is forty-seven less than eight times the sum of the digits. What is the number?
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Let the number be 10t+u
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Equations:
u = 2t-7
10t+u = 8(t+u)-47
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Substitute for "u" and solve for "t":
10t+2t-7 = 8(t+2t-7)-47
12t-7 = 24t-56-47
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-12t = -96
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t = 8
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Solve for "u":
u = 2t-7
u = 16-7
u = 9
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Ans: The number is 89
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Cheers,
Stan H.
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