# A two-digit number is such that if a decimal point is placed between its digits, the resulting number is one-quarter of the sum of its digits. What is the original number? {Please don't provide any weblink or certified answer ... and solve the question to find the answer with proper & clear explanation}

Dear Student,

Let unit digit of given number =  x  and tens digit =  y  , So

Original number = 10 y +

And from given condition we get :

From above equation we can say that only at = 1 we get ' x ' as single digit number , so at y  =  1 we get from above equation :

5 ( 1 ) = x  ,

x  = 5

Therefore,

Our original number = 10 ( 1 ) + 5 =  10 +  5 =  15                                            ( Ans )