the sum of 3 consecutive multiples of 11 is 363 find these multiples
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Answered by
4
Let the first digit be 11x
Next be 11x+11 and 11x+22
So 11x+11x+11+11x+22=363
33x+33=363
33x=330
X=330/33
X=10
So numbers are=11*10=110
11*10+11=121
11*10+22=132
Next be 11x+11 and 11x+22
So 11x+11x+11+11x+22=363
33x+33=363
33x=330
X=330/33
X=10
So numbers are=11*10=110
11*10+11=121
11*10+22=132
Answered by
3
Hi ,
Let x , ( x + 11 ) , ( x + 22 ) are three
consecutive multiples of 11
Sum of these numbers = 363
x + ( x + 11 ) + ( x + 22 ) = 363
3x + 33 = 363
3x = 363 - 33
3x = 330
x = 330/3
x = 110
Therefore ,
Required numbers are ,
110 , ( 110 + 11 ) , ( 110 + 22 )
110 , 121 , 132
I hope this helps you.
: )
Let x , ( x + 11 ) , ( x + 22 ) are three
consecutive multiples of 11
Sum of these numbers = 363
x + ( x + 11 ) + ( x + 22 ) = 363
3x + 33 = 363
3x = 363 - 33
3x = 330
x = 330/3
x = 110
Therefore ,
Required numbers are ,
110 , ( 110 + 11 ) , ( 110 + 22 )
110 , 121 , 132
I hope this helps you.
: )
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