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The sum of three consecutive multiples of 11 is 363. Which of these multiple is greatest?
- a)121
- b)131
- c)132
- d)122
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The sum of three consecutive multiples of 11 is 363. Which of these mu...
Let the numbers be
11x, 11(x + 1), 11(x + 2)
Hence 11x + 11(x + 1) + 11(x + 2) = 363
⇒ 11x + 11x + 11 + 11x + 22 = 363
⇒ 33x + 33 = 363
⇒
Greatest multiple = 11(x + 2)
= 11 (10 + 2) = 11 × 12 = 132
11x, 11(x + 1), 11(x + 2)
Hence 11x + 11(x + 1) + 11(x + 2) = 363
⇒ 11x + 11x + 11 + 11x + 22 = 363
⇒ 33x + 33 = 363
⇒
Greatest multiple = 11(x + 2)
= 11 (10 + 2) = 11 × 12 = 132
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Community Answer
The sum of three consecutive multiples of 11 is 363. Which of these mu...
Sum=363=(x)+(11+x)+(22+x)= 34x
x=363÷34 =10.67...
as x is not integer ,this question is wrong
x=363÷34 =10.67...
as x is not integer ,this question is wrong
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