CA Foundation · Quantitative Aptitude · Equations
The sum of two numbers is 45 and their difference is 13. What is the larger number?
The larger number is 29. Adding the sum and difference equations gives 2x = 58, so x = 29, and the smaller number is 16. Both conditions check: 29 + 16 = 45 and 29 − 16 = 13.
- A32
- B29Correct
- C31
- D27
Explanation
Let the numbers be x and y with x + y = 45 and x − y = 13. Adding gives 2x = 58, so x = 29 and y = 16. Check: 29 + 16 = 45 and 29 − 16 = 13. The value 32 would come from wrongly adding 45 and 13 without halving.
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