SOLUTION: One fifth of the sum of two angles is 24 degree and half of their difference is 14 degree. Calculate the two angles

Question 257665: One fifth of the sum of two angles is 24 degree and half of their difference is 14 degree. Calculate the two angles
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One fifth of the sum of two angles is 24 degree and half of their difference is 14 degree. Calculate the two angles
:
Two angles; A & B
:
"One fifth of the sum of two angles is 24 degree"
.2(A + B) = 24
Multiply by 5:
A + B = 5(24)
A + B = 120
:
"half of their difference is 14 degree."
.5(A - B) = 14
Multiply by 2
A - B = 2(14)
A - b = 28
:
Add the two equations
A + B = 120
A - B = 28
--------------Addition eliminates B, find A
2A = 148
A = 148/2
A = 74 degrees
:
Find B
74 + B = 120
B = 120 - 74
B = 46 degrees
:
:
Check solution in the statement:
half of their difference is 14 degree.
.5(74 - 46) =
.5(28) = 14

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