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A two-digit integer is divisible by 5 but not by 10. If the digits are reversed,
the new number is 18 more than the original. What is the integer?
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Answer:
x=3
Explanation:
Flip the number to get 10y+x = 10*5 + x = 50+x
This new number is 18 larger than the old one, so,
(new number) = (old number) + 18
50+x = 10x+5+18
let's solve for x
50+x = 10x+5+18
x+50 = 10x+23
x+50-x = 10x+23-x
50 = 9x+23
50-23 = 9x+23-23
27 = 9x
9x = 27
9x/9 = 27/9
x = 3
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