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DanielleElmas [232]

3 years ago

12

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 th

e first and third integer. Find the three integers

1 answer:

slega [8]3 years ago

7 0

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

<u>Conclusion</u>

1st integer is 56

2nd integer is 84

3rd integer is 49

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https://brainly.in/question/3215756

Keywords : Integer, sum

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