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Question

Express 153 as the sum of consecutive odd numbers.

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Solution

Let the three numbers be (x1),x and (x+1).

Given, the sum of three consecutive odd numbers is 153.
153=3375.

(x1)+x+(x+1)=3375
3x=3375
x=1125.

Therefore,
1st number =x1=11251=1124.
2nd number =x=1125.
3rd number =x+1=1125+1=1126.

Hence, the three consecutive numbers are 1124,1125,1126.

Then, 1124+1125+1126=153.

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