Q:
The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
Answer & Explanation
Answer: A) 35 and 46
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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