The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are :
Options:
A . 25, 36
B . 25, 46
C . 35, 46
D . None of these
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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