GATE CE 2016 Set 2 — Question 5
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.
Correct answer
(A) 39
Solution
Let the two-digit number be .
Sum of digits: .
Reversing the digits gives .
Given: .
Solving the two equations:
.
Substituting in .
The original number is .
Sum of digits: .
Reversing the digits gives .
Given: .
Solving the two equations:
.
Substituting in .
The original number is .
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