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

Click here to see ALL problems on Numbers Word Problems

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(39617) (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