The HCF and LCM of two numbers are 12 and 2448 respectively. If the difference of the numbers is 60, then the sum of the numbers is :

1)348

2)284

3)248

4)204


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  • Exam: Solved Paper of Lekhpal held on 13/09/2015





    Two no is X & Y
    Diffrence between no.-
    X - Y = 60
    X = 60+Y ----------1st
    We now
    LCM* HCF = X * Y
    12 * 2448 =X * Y
    XY =29376 ----------2nd
    now here we put the value of X
    ( 60 + Y) Y=29376
    60Y +Y^2 =29376
    Y^2 +204Y -144Y -29376=0
    Y(Y+204) -144(Y+204)=0
    Y =144
    NOW WE PUT THE VALUE OF Y IN 1ST
    X=Y +60
    X =144+60
    =204
    NOW TOTAL OF NO.----144+204= 348 answer

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