Question

Two numbers 97__ and _0 have
missing digct. The difference of
the missing digit is 7. The greatest
possible remainder when the
bigger number i divided by
the smaller number is -​

Answer 1

Answer:

7(12)+1=85

Explanation:

Let the two numbers be x and y, where x is the larger no.

x+y=97 ...(1)

As per the given condition,

x=7y+1 ...(2)

Substitute eq(2) in eq(1) we get

7y+1+y=97

8y=96

y=12

∴x=7(12)+1=85

Answer 2

Answer:

$$\textbf{Step-1: Assume the numbers to be equal to some variables&  then apply all information's given.}$$

                 Let the two numbers be x and y, where x is the larger number

                 Given, Sum of two numbers is 97

                 x+y=97  ...(1)

                 As per the given condition,

                 If the larger number is divided by the smaller, the quotient is 7 and the remainder is 1

                 x=7y+1     ...(2)

Step-2: Solve above equations.

                 Substitute eq(2) in eq(1) we get, 

                 7y+1+y=978y=96y=12∴x=7(12)+1=85