SOLUTION: The ten's digit in a two-digit number is 5 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number,

Question 1177509: The ten's digit in a two-digit number is 5 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 99. Find this number.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

Let units place be x
and ten,s place be y
y=x+5
10y+x 10x+y =99
11x+11y =99
/11
x+y =9
substitute y = x+5
x+x+5 =9
2x=4
x=2
y=x+5
y=7
The number is 72

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