The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?; The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?
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Answer:54
Step-by-step explanation:
Given, difference between two digits is 6.
Therefore, we may say,
(x - y) = 6 [Considering, x & y as the two digits]
Now, let the number be (10x + y)
Hence, the reverse number will be (10y + x)
Now, difference between the number and it’s reverse is,
(10x + y) - (10y + x)
= 10x + y - 10y - x
= 9x - 9y
= 9 (x - y)
= 9 * 6 [Since, (x - y) = 6]
= 54
Therefore, the difference between the number and it’s reverse is 54.
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