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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