Question

difference between a two digit number and the number formed by interchanging the digits is 36.Express as an algebraic equation​

Answer 1

Answer:

Step-by-step explanation:

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 = 10 x + y

(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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Answer 2

Now for this let the digit be...12

So now in the digit 12 the no.'2' comes on ones place and another no.'1'comes on tenth plase so..

We can also write this as...

10+2=12.....OR......10x+y.. (where x=1 and y=2).

But if we take x=2 and y=1 than according to our equation the no will became 21 (10×2+1).....

This is the exact difference between the no. and the no.by reversing it.