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. In a two digit number, the digit of ten's place is three times of the digit of unit place. The differerence, the original number and the number with interchanged digits is 54. Find the original no.​

Answer»

n:-In a two DIGIT number, the digit of TEN's place is three times of the digit of unit place. The differerence between the original number and the number with interchanged DIGITS is 54. Find the original no.Answer:-Original number:-Let the digit in units place be xThen the digit in tens place will be 3xHence, our original number becomes 10(3x) + 1(X)⇻30x + x⇻31xNew number:-The digit in units place becomes 3xThe digits in tens place becomes xHence, our new number becomes10(x) + 1(3x)⇻10x + 3x⇻13xA/qOriginal number - new number = 54 ⇻31x - 13x = 54 ⇻18x = 54⇻x = 54/18⇻x = 3Original number:-31x⇻31 * 3⇻93



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