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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
u for units
t for tens

The transcribed description is this system:
system%28u=1%2B4t%2C10u%2Bt=63%29

Answer by MathTherapy(10552) About Me  (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