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If the sum of two numbers …

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If the sum of two numbers are 18 and sum of their squares are 290,then find the numbers

    • Posted by Venugopal Hs 5 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Venugopal Hs 5 years, 8 months ago

    The numbers in case 1and case 2 should be same

    0Thank You

    Yogita Ingle 5 years, 8 months ago

    x + y = 18
    let x be 18-y
    so,
    (18-y)² + y² = 290
    18²+ y² - 36y + y² = 290
    2y² - 36y = -34
    2y² - 36y +34 = 0
    solving the equation
    y² -34y-2y+68 = 0
    y(y-34) -2( y-34) = 0
    (y-2) (y-34) = 0
    so,
    y= 2 or 34
    case 1,
    y =2 and x = 16

    case 2
    y = 34
    x = -16

    1Thank You

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