SOLUTION: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? I wrote for following expressions:

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Question 59256: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
I wrote for following expressions:
a =
b = a+6
c = 3(a+b)-4
I am unable to solve for the three angles. Your help is appreaciated.
Thank you.

Found 2 solutions by armidano, josmiceli:
Answer by armidano(1)   (Show Source): You can put this solution on YOUR website!

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
You have 3 unknowns
That means you need 3 equations, or you can't solve.
The one you're missing is:
a + b + c = 180 That's true of all triangles
[1]
[2]
[3]
expand [2]

subtract c from both sides
[4]
add 4 to both sides

multiply both sides of [3] by 3

subtract one from the other


substitute in [4]

[5]
[1]

muiltiply both sides by 3

add to [5]


[3]



check
[1]


[2]




OK
so,
a = 20 degrees
b = 26 degrees
c = 134 degrees

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