#LetsPrepareATC
π Prepare AAI - ATC Exam (2023) with ATC Gurus Mr. Paras Soni & Dr. Abhijit Sen
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Free Aptitude Question
If the sum of two numbers is 13 and the sum of their square is 85. Find the numbers?
Select
one correct
option:
6 & 7
Correct πͺ
In-correct π§
5 & 8
Correct πͺ
In-correct π§
4 & 9
Correct πͺ
In-correct π§
3 & 10
Correct πͺ
In-correct π§
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Q. 13
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Q. 17
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Q. 19
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Q. 26
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October 02, 2023
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Explanation
Let the numbers be x and 13-x
Then x
2
+ (13 β x)
2
= 85
β΄ x
2
+ 169 + x
2
β 26x = 85
β΄ 2 x
2
β 26x + 84 = 0
β΄ x
2
β 13x + 42 = 0
β΄ (x-6)(x-7)=0
Hence numbers are 6 & 7