Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 4)
4.
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
4
8
16
None of these
Answer: Option
Explanation:

Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.

Let ten's and unit's digits be 2x and x respectively.

Then, (10 x 2x + x) - (10x + 2x) = 36

9x = 36

x = 4.

Required difference = (2x + x) - (2x - x) = 2x = 8.

Discussion:
45 comments Page 5 of 5.

Sarita said:   6 years ago
Thank you for the answer @Anju.

Naina said:   8 years ago
Good Explanation, Thanks @KCS.

S.prema said:   9 years ago
Thanks for the explanation.

Shalini said:   1 decade ago
Why are we choosing 2x?

Md Parvez Islam said:   4 years ago
Thanks @Chinnadurai.
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