The sum of three consecutive integers is 174 . What are the integers
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X
X+1
X+2
X+ X+1 +X+2 = 174
3x+3 = 174
3x =174-3
3x= 171
X= 171/3
X= 57
X= 57
X+1 = 57 +1 = 58
X+2 = 57+2= 59
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Solution :-
Let us assume that, the three consecutive integers are (x - 1) , x and (x + 1) .
So,
→ (x - 1) + x + (x + 1) = 174
→ x + x + x - 1 + 1 = 174
→ 3x = 174
→ x = 58
therefore,
→ Smallest number = (x - 1) = 58 - 1 = 57
→ Middle number = x = 58
→ Largest number = (x + 1) = 58 + 1 = 59 .
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