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NARA [144]
3 years ago
13

The larger of two numbers is 23. If three times the larger is 5 more than eight times the smaller, find the smaller number.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0
X and y are the numbers
x is greater than y

x=23

if 3 times x is 5 more than 8 times y, find y

3(x)=5+8(y)
3(23)=5+8y
69=5+8y
minus 5
64=8y
divide by 8
8=y
the smaller number is 8
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Answer:

<em><u>7</u></em><em><u>/</u></em><em><u> </u></em><em><u>Ans;</u></em>

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___o__o__

<em><u>9</u></em><em><u>/</u></em><em><u>Ans;</u></em>

\frac{ {x}^{2}  - 9}{ {x}^{2}  - 6x + 9}  \div  \frac{x + 4}{x - 3}  \\  \\  \frac{ {x}^{2} - 9 }{ {x}^{2}  - 6x + 9}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  =  \frac{(x + 3)}{1}  \times  \frac{1}{(x + 4)}  \\  \\  \\  =  \frac{x + 3}{x + 4}

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

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We call two numbers a and b, notice a>b
<span>The sum of two numbers is 110: a+b=110
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astra-53 [7]

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