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The digit of a two digit …

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The digit of a two digit number differ by 3 if the digits are interchanged and the results number is added to the original number we obtain 143 find the original number

    • Posted by Surendar Kumar 6 years, 2 months ago

    CBSE > Class 08 > Mathematics
    • 2 answers

    Satyam Nigam 6 years, 2 months ago

    Let the ten's digit no. be 'x'.so,the one's digit no.=x-3 . Original number=10x+x-3=11x-3 ; No. obtained after interchange the digit=10(x-3)+x=11x-30. ; A.T.Q. ; 11x-3+11x-3=143 ; 22x-33=143 ; 22x=143+33 ; 22x=176 ; x=176/22 ; x=8 . So,the original no.= 11x-3 = 11×8-3=88-3=85.

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    Chaitanya Kale 6 years, 2 months ago

    Original=new number 10x(3+143)=10x(3x+10)+143 30x+143=30x+100x+143 173x=130x+143 173x=273x X=273/173

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