Question

A piece of string 230cm long is divided into three pieces in the ratio of 2:3:5. Calculate the length of the longest piece.

Answer 1

Longest piece = 23 × 5 = 115 cm

Sum of ratio = 2+3+5 = 10

So the longest piece = 230÷10×5 = 115 cm

Please mark me brainliest

Answer 2

$\mathfrak{{\pmb{{\underline{Given}}:}}}$

• A piece of long string $\sf{\pmb{230cm}}$ is divided into three pieces in ratio $\sf{\pmb{2:3:5}}$

$\mathfrak{{\pmb{{\underline{To~find}}:}}}$

• The length of the longest piece

$\mathfrak{{\pmb{{\underline{Solution}}:}}}$

• Let the pieces be 2x , 3x & 5x
• Here, 5x is the longest. Hence, we need to find the value of 5x

$\sf\implies{2x+3x+5x=230cm}$

$\sf\implies{10x=230}$

$\sf\implies{x={\dfrac{230}{10}}}$

$\sf\implies{x={\blue{\underline{\boxed{\sf{\pmb{23}}}}}}}$

$\therefore\mathfrak{{\pmb{{\underline{Required~answer}}:}}}$

• Length of longest piece = 5x

$\sf{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\implies 5×23}$

$\sf{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\implies {\blue{\underline{\boxed{\sf{\pmb{115cm}}}}}}}$