the digit at tens place of a two digit number is four times that is the units place if the digits are reversed the new number will be 54 less than the original number find the number
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Answer:
82............
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Step-by-step explanation:
Let the Number at the units place be x.Tenth place = 4x
Then,
➳ Number = 10(x) + 4x
➳ Number = 10x + 4x
➳ Number = 14x
➳ Reversing Number = 10(4x) + x
➳ Reversing Number = 40x + x
➳ Reversing Number = 41x
According to Question now,
➳ 14x - 41x = -54
➳ -27x = -54
➳ x = -54/-27
➳ x = 54/27
➳ x = 2
Units place = x = 2
Tenths place = 4x = 4(2) = 8
Therefore,
Number = 10(8) + 2 = 80 + 2 = 82
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