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Question

difference between a two digit number and the number formed by interchanging its digit is 36 Express this data as an algebraic equation

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Solution

Let tens digit be y and once digit be x

so tens digit = 10y
once digit = x

Original number = 10y + x

Now after interchanging the digit the new no. become = 10x + y

A.T.Q

(10y +x) - (10x +y) = 36
10y + x - 10x - y = 36
9y-9x = 36

9(y-x) = 36

y-x = 36/9

y-x = 4

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