SOLUTION: a number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number
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Question 604790: a number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! a number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number
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let u=units digit
let t=tens digit
..
u+t=11
t=11-u
original number=10t+u
interchanged number=10u+t
..
10u+t=10t+u+9
sub (11-u) for t
10u+11-u=10(11-u)+u+9
10u+11-u=110-10u+u+9
18u=108
u=6
t=11-u=5
ans:
original number
=10t+u
=50+6
=56
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