Question

In the number 7**2, same digit occurs in place of*. The different between the place values of the digit occurring in place of* is 540. find the number.

Answer 1

let the number is 7xx2
   according to question,
the different between the place values of the digits occuring in place of x is 540
then, it means x × 100 - x × 10 = 540 
⇒ 100x - 10x = 540
⇒ 90x = 540 
⇒ x = 540/90 = 6 

hence, x = 6 
so, the number is 7662 .

Answer 2

In the number 7**2, it is given that both the * digits are the same digit. Let this number be X.

Also, the * digit occupies the hundredth and tenth positions. It is specified that the difference between the place values of the digit occurring in place of * is 540.

=> (X x 100) – (X x 10) = 540.

=> 100X – 10X = 540.

=> 90X = 540

=>X = 6

Therefore, the number 7**2 = 7662.