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The sum of three consecutive multiples …

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

Posted by Prince Sahani 5 years, 6 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 6 months ago

Let us take the first number as 11 (x – 1)

First consecutive number that is a multiple of 11 is 11x

Second consecutive number that is a multiple of 11 is 11(x + 1)

Therefore, the sum of 3 multiple of 11 numbers is 11x + 11(x – 1) + 11(x + 1) = 363

Now the sum of 3 numbers are 11x + 11(x – 1) + 11(x + 1) = 363

33x = 363; x = 33,

By substituting x = 33 in numbers 11x, 11(x – 1) and 11(x + 1) we get values 110, 121, 132.

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