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?

Length = 51-19 = 32.

3x + 5x = 32.
X = 4.
5x = 20. = Larger segment.

Could you please explain the method it would be great

Which part in that equation don't you understand?

I don't understand how the distance between the two points could be in a ratio

What ratios are being compared?

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

Another explanation:

https://www.mathsisfun.com/numbers/ratio.html

Thank you. So 32 is divided by 8 parts that is 3 and 5

Oh thank you

You're welcome.