SOLUTION: The sum of the ages of a brother and sister is 29. If four times the brother's age is subtracted from three times the sister's age, the difference is 24.

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Question 336555: The sum of the ages of a brother and sister is 29. If four times the brother's age is subtracted from three times the sister's age, the difference is 24.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let B be the brother's age, S the sister's.
1.S%2BB=29
2.3S-4B=24
Multiply eq. 1 by 4 and add the equations together,
4S%2B4B%2B3S-4B=116%2B24
7S=140
highlight%28S=20%29
From eq. 1,
B=29-20
highlight%28B=9%29