Question

A segment 12" long is divided into two segments having lengths in the ratio of 2:3. Find the length of the shortest segment.
2
2 2/5
4 4/5
7 1/5

Answer 1

You set up an equation here. Easy.


\(\Large \color{MidnightBlue}{\Rightarrow 2x + 3x = 12 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 5x = 12 }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = {12 \over 5} = 2{2 \over 5} }\)

Answer 2

shorter segment is 2 * 12/5 = 24/5

Answer 3

Same as 4 4/5

Answer 4

in such cases add the ratio first : viz. 2+3 = 5
then use this step : first part : (2/5)*12
next : (3/5)*12
You will get ur answer.

Answer 5

@sachinrajsharma it's the shorter segment, actually.

Answer 6

so then 4 4/5?

Answer 7

u can then compare the numerator as when u have the same denominator in this case denominator is 5 both cases