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Q.

The sum of three consecutive multiples of 11 is 363. Find these multiples.


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a

110,121,132

b

99,77,187

c

110,99,154

d

none 

answer is A.

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Detailed Solution

It is given the sum of three consecutive multiples of 11 is 363.
Let the three consecutive multiples of 11 are 11x, 11x+11and 11x+22.
According to question,
 11x+11x+11+11x+22=363  33x+33=363  33x=363-33  33x=330  x=33033  x=10 First multiple =11x
=11×10
=110
Second multiple =11x+11
=110+11
=121
Third multiple =11x+22
=110+22
=132 Therefore, the multiples are 110,121,132.
Hence, the correct option is 1.
 
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The sum of three consecutive multiples of 11 is 363. Find these multiples.