The sum of three consecutive multiples of 14 is 168. Find these multiples.
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(14×3 =42)+ (14×4 =56) (14×5= 70) = 168
hence, three consecutive multiples of 14 whose sum is 168 are 42, 56 and 70.
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Given :-
The sum of three consecutive multiples of 14 is 168
To Find :-
Multiple
Solution :-
Let the multiples be 14x, 14(x + 1), 14(x + 2)
14x + 14(x + 1) + 14(x + 2) = 168
14x + 14x + 14 + 14x + 28 = 168
42x + 42 = 168
42x = 168 - 42
42x = 126
x = 126/42
x = 3
Therefore
14x = 14(3) = 42
14(x + 1) = 14(3 + 1) = 14(4) = 56
14(x + 2) = 14(3 + 2) = 14(5) = 70
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