Three consecutive integers

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Three consecutive integers

The sum of three consecutive integers is 528. The smallest integer among the three integers is?
AlgebraHouse AlgebraHouse
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Re: Three consecutive integers

Anonymous wrote
The sum of three consecutive integers is 528. The smallest integer among the three integers is?
x = 1st integer
x + 1 = 2nd integer
x + 2 = 3rd integer

x + x + 1 + x + 2 = 528 {sum of three consecutive integers is 528}
3x + 3 = 528 {combined like terms}
3x = 525 {subtracted 3 from both sides}
x = 175 {divided both sides by 3}
x + 1 = 176
x + 2 = 177

smallest is 175

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