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The sum of two numbers is …

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The sum of two numbers is 34 if 3 is subtracted from one number and 2 is added to another number the product of the two numbers becomes 260 find the numbers

    • Posted by Khushboo Bisht 1 year, 4 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Vandana Kumari 1 year, 4 months ago

    Let 1st number be x And 2nd number be (34-x) A.T.Q., (x-3)(34-x+2) = 260 (x-3)(36-x) = 260 (36x-x²-108+3x) = 260 (-x²+39x-108) = 260 -x²+39x-368 = 0 x²-39x+368 = 0 x²-16x-23x+368 = 0 x(x-16)-23(x-16) = 0 (x-16)(x-23) = 0 (x-16) = 0 or (x-23) = 0 x = 16 or x = 23 Hence, the required numbers are 16 and 18.

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    Account Deleted 1 year, 4 months ago

    If my answer is wrong you can do repeat with this method

    0Thank You

    Account Deleted 1 year, 4 months ago

    Let no x and 34- x (X-3) (34-x+2) =260 (X-3)(36-x)=260 36x-x(square) -108+3x=260 39x-x(square)-108-260=0 {Sign changes all digit} X(square)-39x+368=0 x(square)-23x-16x+368=0 X(x-23)-16(x-23)=0 (X--23)(x-16). {factors/roots/solution} X=23,x=16 Numbers required 23 and 16

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