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Linear Equations in One Variable
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04/08/2021 11:03 am
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Three consecutive integers add up to 51. What are these integers?
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04/08/2021 11:04 am
Let the three consecutive integers be x, x+1 and x+2.
According to the question,
x + (x+1) + (x+2) = 51
⇒ 3x + 3 = 51
⇒ 3x = 51 – 3
⇒ 3x = 48
⇒ x = \(\frac{48}{3}\)
⇒ x = 16
Thus, the integers are
x = 16
x + 1 = 17
x + 2 = 18