Question

the sum of three consecutive integer is three times their difrencce what is the largest number

Answer 1

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Given that,

• The sum of three consecutive integers is three times their difference.

☯️We need to find the largest number.

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According to the question,

Let us assume the three consecutive integers as A,B and C.

let A be = (x - 1)

Let B be = x

Let C be = (x + 1)

so , x - 1 + x + x + 1 = 3 ( x - 1 - (x) - ( x + 1 ) )

= > 3 x = 3 ( x - 1 - x - x - 1 )

= > 3 x = 3 ( - x - 2 )

= > 3 x = -3 x - 6

= > 6x = -6

= > x = -1

Verification:

x - 1 + x + x + 1 = 3 ( x - 1 - (x) - (x + 1))

3 x = 3 ( x - 1 - x - x - 1 )

3 x = 3 ( -x -2)

3 x = -3 x - 6

3 (-1) = -3 (-1) - 6

-3 = -3

hence , verified ✔️

Therefore,

• A = -2 ( (x - 1) = -1 -1 = -2 )

• B = -1 ( x = -1 )

• C = 0 ( (x + 1) = -1 + 1 = 0 )

hence , The largest number = 0

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