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The sum of the squares of two numbers is 3341 and...

This question belongs to Arithmetic Ability Problems On Numbers
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The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are :

Answer & Solution
Correct Answer: Option C
Let the numbers be x and y.
Then,
x2 + y2 = 3341..... (i)
And,
x2 - y2 = 891..... (ii)
Adding (i) and (ii), we get :
2x2 = 4232
or x2 = 2116
or x = 46
Subtracting (ii) from (i), we get :
2y2 = 2450
or y2 = 1225
or y = 35
So, the numbers are 35 and 46
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