SOLUTION: The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is increased by 54. Find the original number.
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Question 141300: The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is increased by 54. Find the original number. Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! Let the units number be u; the tens be t.
A) t+u=8
B) 10u+t=10t+u+54
.
A) u=8-t
B)
10(8-t)+t=10t+8-t+54
80-10t+t=9t+62
80-9t=9t+62
18t=18
t=1
u=7
The number is 17.
.
Check:
71-17=54
.
Ed
