The integers are 56,84 and 49.
Step-by-step explanation:
Let the first integer to be x
Let the third integer to be y
The first integer is 28 less than the second integer, this mean the second integer is x+28
The sum of the three integer is 189,this means
x+x+28+y=189
2x+y=189-28
2x+y=161--------------------------------------(1)
The second integer is 21 less than the sum of the first and third integer, this means;
x+28+21=x+y
x+49=x+y
x-x+49=y
49=y-----------------------------------------value of 3rd integer
Substitute value of y=49 in equation (1)
2x+y=161
2x+49=161
2x=161-49
2x=112
x=112/2 =56
x=56-----------------------------------value of 1st integer
Substitute x=56, in the expression for the value of 2nd integer
Second Integer=x+28 = 56 +28 =84
Conclusion
1st integer is 56
2nd integer is 84
3rd integer is 49
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Keywords : Integer, sum
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