Asked by Anonymous

Two points lie on the number line. Point A is on 19 and Point B is on 51. The distance of the two points is 3:5 in ratio. What is the length of the largest segment?
Answered by henry2,
Length = 51-19 = 32.
3x + 5x = 32.
X = 4.
5x = 20. = Larger segment.

Answered by Anonymous
Could you please explain the method it would be great
Answered by Ms. Sue
Which part in that equation don't you understand?
Answered by Anonymous
I don't understand how the distance between the two points could be in a ratio
Answered by Anonymous
What ratios are being compared?

Answered by Ms. Sue
It is a 3 to 5 ratio. It's a ratio that divides evenly between two numbers.
Examples
3 to 5
6 to 10
9 to 15
12 to 20

Answered by Ms. Sue
Another explanation:

https://www.mathsisfun.com/numbers/ratio.html
Answered by Anonymous
Thank you. So 32 is divided by 8 parts that is 3 and 5
Answered by Anonymous
Oh thank you
Answered by Ms. Sue
You're welcome.
Answered by Anonymous
Sorry just one more doubt. So there are 8 intervals in between of the two points of the number line. The 5 is not meaning the entire number line is it? Point a contributes to 3 parts of the distance and point b contributes to 5 parts of the distance?
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