the sum of three consecutive multiple of 11 is 363 .find these multiple .a) 99,110,121 .b) 88, 99,110 .c) 110,121,132 .d) 75,86,97
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the correct option is (c) 110,121,132
given :-
the sum of three multiple of 11 is 363 .
To find :-
the three multiple of 11 whose sum is 363
Solution :-
- let first multiple of 11 = x
- second multiple = x + 11
- third multiple = x + 22
ATQ
x + x + 11 + x + 22 = 363
3x + 33 = 363
3x = 363 - 33
x = 330/3
x = 110
therefore the first multiple of 11
is 110
therefore
second multiple of 11 = x + 11
= 110 + 11
= 121
third multiple of 11 = x + 22
= 110 + 22
= 132
hence three multiple of 11 is 110,121, 132.
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