The sum of the digits of two digit is 8. If the digits are reversed the number is 72 more than the original. Find the number
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Answer:
08
Step-by-step explanation:
Let the two digits be x and y
Then, x + y = 8
Let the original two digit number be 10x + y
According to the question,
10y + x = 10x + y + 72
10y - y + x - 10x = 72
9y - 9x = 72
9 ( y - x ) = 9 * 8
[9 ( y - x )]/9 = 8
y - x = 8
and y + x = 8
y - x + y + x = 8 + 8
2y = 16
y = 8
x + 8 = 8
x = 0
∴ The number is 10x + y = 08
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