Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 2 (Q.No. 24)
24.
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Answer: Option
Explanation:
Let the ten's digit be x. Then, unit's digit = (11 - x).
So, number = 10x + (11 - x) = 9x + 11.
Therefore (9x + 11) + 27 = 10 (11 - x) + x 
9x + 38 = 110 - 9x 18x = 72 x = 4.
Thus, ten's digit = 4 and unit's digit = 7.
Hence, required number = 47.
Discussion:
3 comments Page 1 of 1.
MUSKAN said:
4 years ago
Just add 27 to the options and check if the numbers are reversed.
47+27 = 74.
65+27 = 92,
83+27 = 110.
92+27 = 119.
So, the only number reversed is 47 hence the answer is 47.
47+27 = 74.
65+27 = 92,
83+27 = 110.
92+27 = 119.
So, the only number reversed is 47 hence the answer is 47.
(3)
Siri said:
7 years ago
By option verification;
Let the digits be x,y.
x + y = 11.
[A]. 47 i.e, 4 + 7 = 11.
If 27 is added to 47 we 74 which is the reverse of 47.
So, the answer is 47.
Let the digits be x,y.
x + y = 11.
[A]. 47 i.e, 4 + 7 = 11.
If 27 is added to 47 we 74 which is the reverse of 47.
So, the answer is 47.
Kiran said:
9 years ago
I don't understand. How? Please explain.
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