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.
<pre>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