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andrezito [222]
3 years ago
9

the larger of two number is 15 more than three times the smaller number. If the sum of the two numbers is 63, find tge numbers.

Mathematics
2 answers:
irakobra [83]3 years ago
6 0
X is the smaller number. 3x + 15 is the larger number. So x + 3x + 15 = 63. 4x + 15 = 63.
4x = 48. x = 12. (Smaller number) The larger 36 + 15 or 51.
Marianna [84]3 years ago
3 0
To solve this we will write an equation to describe the situation.
(For some fun let us use (Apple) to represent the smaller number, and (Pineapple) for the big number)

Basically what the question is telling us is:
 (apple) + (pineapple)  = 63

Now we need to know what and (apple) and (pineapple)   are.
(pineapple) = 15 more than 3x the smaller number = 3(apple)   +  15
(apple): nothing special to do to it so it is just (apple)

Now we can replace (pineapple)  with what we calculated above. (pineapple) = 3(apple)  +  15

This means (apple)  + (3(apple)  + 15) = 63

  (apple) + 3(apples)  is simply 4(apples) 

So, the equation is now 4(apples)
  + 15 = 63

Now lets solve for (apple)  .
4(apple)  + 15 = 63
4(apple)  = 63 - 15
4(apple) = 48
(apple)= 48 ÷ 4

(apple) = 12
Voila! Now we know what (apple) is, but we still need to find (pineapple)  .

Remember how  (pineapple)  = 3(apple)   +  15 ?
We know (apple)  = 12 so plug in 12 for (apple)  to find out what (pineapple)   is.

  (pineapple) = 3(12) + 15
  (pineapple) = 36 + 15
  (pineapple) = 51

Now just to check: (apple)   +  (pineapple) should equal 63
Does 12 + 51 = 63? YES! so this answer is correct.

The two numbers you are looking for are:
apple = smaller number = 12
pineapple = bigger number = 51



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Answer:

8:3

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Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

<u>8:3</u>

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

<u>8:3</u>

8 ⋅ 2:3 ⋅ 2

<u>16:6</u>

<u></u>

So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.

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3 years ago
( Help ASAP ) y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation?
DiKsa [7]

Answer:

k = 9.6

Step-by-step explanation:

When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation = k

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To find the value of k

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babunello [35]

Answer:

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7 0
3 years ago
Read 2 more answers
9 divided by 204 show your work
andrew-mc [135]
Dude, you could just use a calculator but the answer is 51.
6 0
3 years ago
Read 2 more answers
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