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Question

The sum and product of three whole numbers is equal. Find that three whole numbers

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    Solution

    Let the three whole number are x, x+1, x+2.
    product = sum
    x×(x+1)×x+2=x+x+1+x+2x×(x+1)×(x+2)=3x+3x×(x+1)×(x+2)=3(x+1)x×(x+2)=3x2+2x=3x2+2x=3x2x+3x3=0x(x2)+3(x1)=0(x1)(x+3)=0(x1)=0x=1
    and
    (x+3)=0x=3x=1,3
    For whole number we take only x=2
    put the value of x in x,x+1,x+2
    x=1x+1=1+1=2x=2=1+2=3
    Hence number are 1, 2, 3


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