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Oxana [17]
3 years ago
14

3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3

/4 of youngest brother's age equals to half of oldest brother's age?​
Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Step-by-step explanation:

Let O represents older brother

M represents middle brother

& Y represents younger brother.

Therefore, according to the given condition:

\frac{3}{4} y =  \frac{2}{3} m =  \frac{1}{2} o \\  \\  \therefore \:  \frac{3}{4} y =  \frac{2}{3} m \\  \implies \: m = \frac{3}{2}  \times  \frac{3}{4} y  =  \frac{9}{8} y \\  \\  next \:  \: \frac{3}{4} y =  \frac{1}{2} o \\ \implies \: o = \frac{2}{1}  \times  \frac{3}{4} y  =  \frac{3}{2} y  \\  \\  \because \: o + m + y = 58 \\ \\   \therefore \:  \frac{3}{2} y  + \frac{9}{8} y  + y = 58 \\  \\  \therefore \:  \frac{12}{8} y  + \frac{9}{8} y  +  \frac{8}{8} y = 58  \\  \\ \therefore \:  \frac{29}{8} y   = 58 \\  \\ \therefore \:  y   = 58  \times  \frac{8}{29} \\  \\  \therefore \:  y   = 2 \times 8  \\  \\ \therefore \:  y   = 16 \: years

Thus youngest brother is 16 years old.

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GE bisects DGF , m_ CGD= 2x - 2, m2 EGF= 37, m CGF = 7x + 2<br> mZCGD =<br> mZCGF =
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Answer:

m<CGD = 26°

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Step-by-step explanation:

m<CGD = 2x - 2

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Since GE bisects <DGF, m<DGF = 2*m<EGF.

m<DGF = 2*37 = 74°

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Find the value of x using the equation above.

2x - 2 + 74 = 7x + 2

Collect like terms

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Plug in the value of x

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4 0
3 years ago
Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equ
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The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

<h3>Writing equation</h3>

From the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal

From the given information,

"<em>Arianys wants to ride her bicycle 55.5 miles</em>"

and

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Thus,

The number of miles she needs to ride more is

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If m is the average number of miles she would have to ride for 5 more days to complete her goal,

Then, we can write that  

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OR

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Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

Learn more on Writing equation here: brainly.com/question/28351087

#SPJ1

4 0
1 year ago
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