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Karthik

· started a discussion

· 1 Months ago

Any Shortcut? (Question: 108158.0 )

Any shortcut method is available for this type of problem,

Question:

If a certain number of two digits is divided by the sum of its digits, then the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits  of the number is:

Options:
A) 4
B) 6
C) 9
D) 12
Solution:
Ans: (d)

Let the number be 10x + y.

A.T.Q.,

10x + y = (x + y) 6 + 3

4x – 5y = 3                         ..........(i)

A.T.Q.,

10y + x = (x + y) × 4 + 9

6y – 3x = 9                          ..........(ii)

On solving equ. (i) & (ii), we get :

x = 7 & y = 5  \(\Rightarrow\) x + y = 12

Knowledge Expert

· commented

· 1 Months ago

Dear student
There is no short cut for this type of questions.
Given solution is appropriate.

Regards
Team TR

chadershekhar

· commented

· 1 Months ago

agar remainder 9 tak bach rha h to un digit ka sum 9 se kam to aa nhi skta thts means ans 9 se bda h so ans is 12

Mahesh Kumar

· commented

· 1 Months ago

Sum of the remainders will be equal to the divisor
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