Problema Solution

Phineas forms an orders list of seven consecutive whole numbers. The sum of the first, third, and sixth of these is 175. Find the sum of the remaining four whole numbers

Answer provided by our tutors

The seven consecutive whole numbers can be written as:

x, x+1, x+2, x+3, x+4, x+5 and x+6

The sum of the first, third, and sixth is 175:

x + x + 2 + x + 5 = 175

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click here to see the equation solved for x

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x = 56

The sum of the remaining numbers is:

x + 1 + x + 3 + x + 4 + x + 6 = 4x + 14 = 4*56 + 14 = 238

The sum of the remaining four whole numbers is 238.