Question

8. The ratio between two numbers is 3 : 4. If their LCM
is 180, find the numbers.​

Answer 1

Answer:

$\large\tt\color{red}\underline{\underline{Question:}}$

$\textsf{The ratio between two numbers is 3:4.}$

$\textsf{If their L.C.M is 180 , find the numbers}$

$\large\tt\color{orange}\underline{\underline{Given:}}$

$\textsf{Ratio=3:4}$

$\textsf{L.C.M=180}$

$\large\tt\color{blue}\underline{\underline{To\:find:}}$

$\textsf{The numbers which are in ratio.}$

$\large\tt\color{purple}\underline{\underline{Taken:}}$

$\textsf{Let the numbers be x}$

$\textsf{L.C.M of 3x and 4x =180}$

$\large\tt\color{pink}\underline{\underline{Concept:}}$

$\textsf{▪︎First find L.C.M of 3x and 4x}$

$\textsf{▪︎Then divide 180 by the L.C.M of 3x and 4x}$

$\textsf{▪︎Now multiply by the ratios.}$

$\large\tt\color{green}\underline{\underline{Solution:}}$

$\Rightarrow{L.C.M 3x and 4x=180}$

$\Rightarrow{L.C.M is 12x = 180}$

$\Rightarrow{12x=180}$

$\Rightarrow{x=180/12}$

$\Rightarrow{x=15}$

$\textsf{Numbers:}$

$\therefore\boxed{1st\:number => 3×15=45}$

$\therefore\boxed{2nd\:number => 4×15=60}$

HOPE IT HELPS YOU