The sum of three consecutive multiples of 9 is 378. find three multiples
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Answered by
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Let the multiples be 9(x-1), 9x, 9(x+1).
Given: 9(x-1)+9x+9(x+1)=378
So, 9x-9+9x+9x+9=378
So, 27x=378
=>x=14
So, the multiples are 13 x 9, 14 x 9,15 x 9
=> They are 117, 126, 135.
Given: 9(x-1)+9x+9(x+1)=378
So, 9x-9+9x+9x+9=378
So, 27x=378
=>x=14
So, the multiples are 13 x 9, 14 x 9,15 x 9
=> They are 117, 126, 135.
Answered by
10
solution :-
Given:-
The sum of three consecutive multiples of 9 is 378.
Let the first number be x.
second number= x +9
Third number = x+9+9 = x+18
Now
x + x+ 9 + x+18 = 378
=>3x + 27 = 378
=>3x = 378 -27
=>x = 351/3
=>x = 117
first number = 117
second number = 117+9 = 126
third number = 117+18 = 135
so 117, 126 and 135 are the 3 consecutive multiples of 9 whose sum is 378.
Thanks
Given:-
The sum of three consecutive multiples of 9 is 378.
Let the first number be x.
second number= x +9
Third number = x+9+9 = x+18
Now
x + x+ 9 + x+18 = 378
=>3x + 27 = 378
=>3x = 378 -27
=>x = 351/3
=>x = 117
first number = 117
second number = 117+9 = 126
third number = 117+18 = 135
so 117, 126 and 135 are the 3 consecutive multiples of 9 whose sum is 378.
Thanks
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