find three consecutive numbers if three times the middle number is greater than the sum of the first and the last number by 176​

find three consecutive numbers if three times the middle number is greater than the sum of the first and the last number by 176​

1 thought on “find three consecutive numbers if three times the middle number is greater than the sum of the first and the last number by 176​”

  1. Answer :-

    Given :-

    • 3 × middle term = first term + last term + 176

    To Find :-

    • The three consecutive numbers

    Solution :-

    Let the three consecutive numbers be x , x + 1 , x + 2.

    According to the question :-

    3 × middle term = first term + last term + 176

    → 3 ( x + 1 ) = x + x + 2 + 176

    → 3x + 3 = 2x + 178

    → 3x – 2x = 178 – 3

    → x = 175

    → x + 1 = 175 + 1 = 176

    → x + 2 = 175 + 2 = 177

    The three consecutive numbers are 175 , 176 , 177.

    Verification :-

    → LHS = 3 ( x + 1 )

    → LHS = 3 ( 175 + 1 )

    → LHS = 3 × 176

    → LHS = 528

    → RHS = x + x + 2 + 176

    → RHS = 175 + 175 + 2 + 176

    → RHS = 175 + 177 + 176

    → RHS = 528

    LHS = RHS

    Hence verified.

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