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Mariulka [41]
3 years ago
12

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

is the age of the older brother?
Mathematics
1 answer:
Ainat [17]3 years ago
4 0
 <span>let x = age of younger bro 
ley y = age of older bro 

x/y = 2/3 ----> x = 2y/3 eq.1 
x+8 / y+8 = 3/4 eq.2 

sub eq.1 into eq.2: 

(2y/3) + 8 / y+8 = 3/4 
(2y+24)/3 / y+8 = 3/4 
2y + 24 / 3(y+8) = 3/4 
2y+24 / 3y+24 = 3/4 
4(2y+24) = 3(3y+24) 
8y+96 = 9y+72 
24=y 

x=2y/3=2*24/3=16

Source- </span>https://answers.yahoo.com/question/index?qid=20090519120852AA85lSu
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Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

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Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

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                = (\frac{1}{5}-\frac{1}{15})l

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Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

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