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?

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?

Answer by stanbon(75887) (Show Source): 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?
------
Let the number be 10t+u
-------
Equations:
u = 2t-7
10t+u = 8(t+u)-47
----
Substitute for "u" and solve for "t":
10t+2t-7 = 8(t+2t-7)-47
12t-7 = 24t-56-47
----
-12t = -96
---
t = 8
-----
Solve for "u":
u = 2t-7
u = 16-7
u = 9
----
Ans: The number is 89
==========================
Cheers,
Stan H.
=============
RELATED QUESTIONS
1) the ones digit of a two digit number is one more than twice the tens digit. the number (answered by lwsshak3)

The tens digit of a two digit number is three less than the units digit. If two were... (answered by JBarnum,Stitch)

A number of two digits is such that twice the tens digit is 8 less than seven times the... (answered by stanbon,MathTherapy,ikleyn)

The ones digit of a two-digit number is 4 less than its tens digit. What are the two... (answered by ramkikk66)

The sum of the digits of a three-digit number is 15. The ones digit is one less than the... (answered by lwsshak3)

The sum of a two-digit number and its reverse is 121. The ones digit is seven more than... (answered by edjones)

6. If twenty-seven is added to a two digit number, the original number will be reversed.... (answered by lwsshak3)

The tens digit of a two-digit number is 2 less than twice the units digit. The number is... (answered by Nate,stanbon)

The sum of the digits of a three digit number is 11. The tens digit is 3 less than twice... (answered by ewatrrr)