The sum of five consecutive integers is 170. Find the three integers.
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Answer:
Let x be the five consecutive integers.
Therefore, the five consecutive integers are x, (x+1), (x+2), (x+3), (x+4).
As the sum of five consecutive integers is 170.
Then,
→ x+ (x+1) + (x+2) + (x+3) + (x+4) = 170
→ 5x + 10 = 170
→ 5x = 170 - 10
→ 5x = 160
→ x = 160/5
→ x = 32
Now, solve for x -
- 32
- (x+1) = (32+1) = 33
- (x+2) = (32+2) = 34
- (x+3) = (32+3) = 35
- (x+4) = (32+4) = 36
Therefore, five consecutive integers are 32, 33, 34, 35 and 36.
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