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 ?
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.
Manu said:
1 decade ago
Why are you taking (10*2x+x) - (10+2x) = 36? Please explain it.
Bhavna said:
1 decade ago
Assume the 2 digit number be 84 and by interchanging the digits we get 48.
Difference 84-48 = 36.
Sum = 4+8= 12.
Difference = 8-4 = 4.
Difference between sum & diff = 12-4 = 8.
Difference 84-48 = 36.
Sum = 4+8= 12.
Difference = 8-4 = 4.
Difference between sum & diff = 12-4 = 8.
S.prema said:
1 decade ago
Thanks for the explanation.
Rishitha said:
9 years ago
Can anyone explain what happens after 12k = 48 and 21k = 84?
After we do this how do we get the final answer?
After we do this how do we get the final answer?
Naina said:
8 years ago
Good Explanation, Thanks @KCS.
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