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Class 10 Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method.Hard

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In a two-digit number, the sum of digits is (13). The difference between the number and its reversed number is (45). What is the original number?

Answer and explanation

Correct answer: (94)

Let the tens digit be (x) and units digit be (y). From (x+y=13) and (9(x-y)=45), (x=9,\ y=4), so the number is (94).

Related tags

Linear Equations Word Problem Digits Hard Class 10 Algebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination Method Pair Of Linear Equations In Two Variables

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