SOLUTION: The sum of three integers is 40. The first integer is four times the sum of the second and third. The second is twice the opposite of the third. What are the integers?

Question 1077334: The sum of three integers is 40. The first integer is four times the sum of the second and third. The second is twice the opposite of the third. What are the integers?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The sum of three integers is 40. The first integer is four times the sum of the second and third. The second is twice the opposite of the third. What are the integers?
let�s three integers be , , and
if the sum of three integers is , we have
........eq.1
if the first integer is four times the sum of the second and third, we have

.......eq.2
if the second is twice the opposite of the third, we have

.....eq.3...go to eq2 and substitute

.............eq.2a
go to ........eq.1, substitute from eq.2a and from eq.3

........eq.1

find

find
.............eq.2a

so, your integers are:, , and
check their sum:
........eq.1

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