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# Three consecutive integers add up to 51. What are these integers?

Q.6 Three consecutive integers add up to 51. What are these integers?

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Let the consecutive integers be x, x+1, x+2.

Sum of these integers is given to be 51.

Thus equation becomes :  x + x + 1 + x + 2 = 51

3x + 3 = 51

Transposing 3 to the RHS,

3x = 48

Now dividing both sides by 3, we get

$x = \frac{48}{3} = 16$

Hence the consecutive integers are 16, 17, 18.

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