Question

A piece of string 85cm long is divided into 3 pieces is the ratio 2:3:5. calculate the longest and shortest piece

Answer 1

solution :let us
2:3:5=2x,3x,5x
2x+3x+5x=85cm
10x=85cm
x=85/10
x=8.5
hence
2x=2×8.5=17cm
3x=3×8.5=25.5cm
5x=5×8.5=42.5cm
Longest piece=42.5cm
Shortest piece=17cm

Answer 2

Answer:

length of longest piece= 42.5 cm

length of shortest piece = 17 cm

Step-by-step explanation:

given

total length of the string = 85 cm

let us consider first piece as 2 X

let us consider second piece as 3 X

let us consider the fifth piece as 5 X

according to the question,

2 X + 3 X + 5 X = 85

10 X = 85

X = 8.5 cm

length of shortest piece = 2 X = 2×8.5 = 17 cm

length of longest piece = 5 X = 5×8.5 = 42.5 cm