Respuesta :
Answer:
The number 480 after dividing in the ratio 3:5 are 180 and 300
Step-by-step explanation:
We have to divide the number 480 in the ratio 3:5
Let the numbers after dividing be 3x and 5x
(3x:5x=3:5)
3x+5x=480
⇒ 8x=480
Dividing both sides by 8, we get
x=60
So, the numbers after dividing are:
3×60=180
and 5×60=300
Hence, the number 480 after dividing in the ratio 3:5 are 180 and 300
A ratio shows us the number of times a number contains another number. The two numbers are 180 and 300.
What is a Ratio?
A ratio shows us the number of times a number contains another number.
As we need to divide the number 480 in the ratio of 3:5, therefore,
Let's assume the two numbers to be 3x and 5x.
[tex]3x+5x =480\\\\8x = 480\\\\x =\dfrac{480}{8}\\\\x = 60[/tex]
Now, the first number can be written as,
[tex]3x\\\\=3 \times 60\\\\=180[/tex]
And, the second number can be written as,
[tex]5x\\\\=5 \times 60\\\\=300[/tex]
Hence, the two numbers are 180 and 300.
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