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Q.
The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
A.
35 and 46
B.
35 and 50
C.
40 and 55
D.
45 and 60
View Answer
Correct choice: A
Explanation:
Let the numbers be x and y. Then, x^2+y^2=3341......(1) x^2-y^2=891......(2) Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46 Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35 So, the numbers are 35 and 46
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