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 1074196: 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, ptaylor:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
just from first sentence of the description. Both t and u must be values from 0 to 9, but 0 for t is not acceptable in this example.

If t=1 then u=5.
If t=2 then u=9.
No other possibilities.
Either the number is 15 or it is 29.

"The number formed by reversing the digits is 63 larger than the original number."
-

The number is 29.
Answer by ptaylor(2198) (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 x=tens digit
then 4x+1=units digit
(10(4x+1) +x)-63=10x+4x+1
41x-53=14x+1
27x=54
x=2----tens digit
4x+1=4*2+1=9----units digit
CK
Original number is 29
92-63=29
29=29
hope this helps--ptaylor

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