Question

The sum of three integers is 189. The first integer is 28 less than the second. The second integer is 21 less than the sum of the first and third integer. Find the three integers

Answer 1

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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