The digit at the tens place of a two digit number is 3 times the digit at the units place.If the digit are reversed ,the new number will be 36 less than the orignal number.Find the number
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Answer:
Let the Number at the units place be x.Tenth place = 3x
Then,
➳ Number = 10(x) + 3x
➳ Number = 10x + 3x
➳ Number = 13x
➳ Reversing Number = 10(3x) + x
➳ Reversing Number = 30x + x
➳ Reversing Number = 31x
According to Question now,
➳ 13x - 31x = -36
➳ -18 = -36
➳ x = -36/-18
➳ x = 36/18
➳ x = 2
Units place = x = 2
Tenths place = 3x = 3(2) = 6
Therefore,
Number = 10(6) + 2 = 60 + 2 = 62
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