Subject

    Quantitative Aptitude

    Topic

    Number

    The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :

    ক)
    35 and 46
    খ)
    35 and 50
    গ)
    40 and 55
    ঘ)
    45 and 60

    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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