SOLUTION: The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original

Question 1017811: The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
u for units
t for tens

The transcribed description is this system:

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original number.

Let tens and units digits, be T and U, respectively
Then original number is: 10T + U, and reversed number is: 10U + T
Then: U = 4T + 1 -------- eq (i)
Also, 10U + T = 10T + U + 63_____10U - U + T - 10T = 63____9U - 9T = 63_____9(U - T) = 9(7)______U - T = 7 ------- eq (ii)
Then: Substitute 4T + 1 for U in eq (ii)
Determine the value for T, the tens digit
Substitute value for T into any of the 2 equations to get the value of U
RELATED QUESTIONS
The units digit of a two-digit number is one more than four times the tens digit. The... (answered by josgarithmetic,ptaylor)
the ratio of the tens digit to the units digit of a two-digit number is 1 to 4. the... (answered by ankor@dixie-net.com)
The sum of the digits of a two digit number is 11. The tens digit is one more than four... (answered by feliz1965)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
pls. help me solve this problem... thank you... 1. Three times the tens digit of a... (answered by ewatrrr)
pls. help me solve this problem... thank you... problem 1. Three times the tens digit (answered by mananth)