The sum of digits of two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the numbers.
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Answer:
Step-by-step explanation:
Number: x+y
x + y = 7--> x = 7-y
10y + x = 10 x + y + 27
Simplify:
9y = 9x + 27
9y = 9(7-y) + 27
9y = 63 - 9y + 27
18y =90
y = 5
x = 2
The number is 25.
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