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In a two-digit number, the sum of digits is (11). The number formed by reversing the digits is (27) less than the original number. What is the original number?

Answer and explanation

Correct answer: (74)

Let the tens digit be (x) and the units digit be (y), giving (x+y=11) and (9x-9y=27). In exams, write a two-digit number as (10x+y).

Related tags

Linear EquationsDigitsSubstitutionClass 10Algebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two VariablesMathematics

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