the sum of 3 consecutive multiples of 11 is 360 find these multiples
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Let the three numbers be x, x+11,x+22
(Because the consecutive multiples of 11 means they increase by eleven)
Given total = 360
So,
x+x+11+x+22= 360
3x+33=360
x+11= 120 ( Take 3 as common and cancel)
x=109.
The other two numbers are
109+11= 120,
109+22= 131
The three numbers are 109, 120,131
Proof:
109+120+131=360
(Because the consecutive multiples of 11 means they increase by eleven)
Given total = 360
So,
x+x+11+x+22= 360
3x+33=360
x+11= 120 ( Take 3 as common and cancel)
x=109.
The other two numbers are
109+11= 120,
109+22= 131
The three numbers are 109, 120,131
Proof:
109+120+131=360
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