five less than 3 times a number is 4 more than two times the number. write an equation and find out what number is this

five less than 3 times a number is 4 more than two times the number. write an equation and find out what number is this

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  1. Answer :

    • Number => 9

    Given :

    • Five less than 3 times a number is 4 more than two times the number.

    To Find :

    • The number.

    Step By Step Explanation :

    It is given that five less than 3 times a number is 4 more than two times the number.

    Let us consider the number be x.

    Then equation will be ⤵

    [tex] \boxed{ \underline{ \bf{ \purple{3x – 5 = 4 + 2x}}}}[/tex]

    Now let us find the value of x.

    [tex] \implies\sf3x – 5 = 4 + 2x \\ \\ \implies\sf3x – 2x = 4 + 5 \\ \\ \implies\bf \: x = 9[/tex]

    Therefore the number is 9.

    Verification :

    By substituting the value of x.

    L. H. S.

    => 3 × 9 – 5

    => 27 – 5

    => 22

    R. H. S.

    => 4 + 2 × 9

    => 4 + 18

    => 22

    L. H. S. = R. H. S.

    Hence verified.

    __________________________

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