SOLUTION: The sum of the digits of a two two-digit number is 13. If the digits are reversed, the new number is 27 less than the original number. Find the number.
Choices:
76
94
95
85
Algebra.Com
Question 1001845: The sum of the digits of a two two-digit number is 13. If the digits are reversed, the new number is 27 less than the original number. Find the number.
Choices:
76
94
95
85
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x in the tens place
y in the digits place
the number be 10x+y
x+y =13
reversed number = 10y+x
10y+x = 10x+y -27
9y-9x=-27
/9
y-x=-3
add the two equations
2y = 10
/2
y=5
x+y=13
y=5
x=8
85 is the number
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