Question

the HCF and LCM of two numbers are 12 and 5040 , respectively . if one of the numbers is 144 , find the other number?​

Answer 1

$\huge✎\fbox \orange{QUE} \colorbox{blue}{ST} \fbox\green{ION}☟$

$\scriptsize{\mathcal{\colorbox{indigo}{\pink{⭐The HCF and LCM of two numbers are 12 and 5040 , respectively . if one of the numbers is 144 , find the other number?⭐️}}}}$

$\Large\bold{\tt{\colorbox{pink}{\blue{꧁Ans᭄wer⤵️꧂}}}}$

$\large{\mathcal{\colorbox{gold}{\blue{420️}}}}$

$\Large\bold{\mathcal{\colorbox{yellow}{\blue{Solution:⤵️}}}}$

$\large \bold{ \mathtt{ \colorbox{red}{ \blue{Given \: HCF=12,LCM=5040}}}}$

$\large \bold{ \mathcal{ \colorbox{pink}{ \pink{and also one number is 144}}}}$

$\large \bold{ \mathtt{ \colorbox{yellow}{ \blue{Let the other number be x}}}}$

$\large \bold { \mathtt{ \colorbox{orange}{{As we know that}}}}$

$\large \bold{ \mathtt{ \colorbox{navy}{ \orange{Product of two numbers is HCF×LCM}}}}$

$\large \bold{ \mathtt{ \colorbox{orange}{ \red{⟹144×x=12×5040}}}}$

$\large \bold{ \mathtt{ \colorbox{lime}{ \purple{⟹x=420}}}}$

$\large \bold{ \mathtt{ \colorbox{aqua}{ \red{So, The other number is 420}}}}$

$\large\bold\red{\overbrace{\underbrace {\mathcal\blue{Please \:  Mark \:  As \:  The \:  Brainliest}}}}$

$\Large\bold{\mathtt{\colorbox{gold}{\red{If \: It \:Satisfied \:You}}}}$

$\large\bold\red{\overbrace{\underbrace {\mathcal\blue{And \:Please \:give \:Thanks}}}}$

꧁Hopes so that this will help you,꧂

$\Large\bold{Your}\: \bold\orange{In}\bold{di}\bold\green{an}\:\Large\bold{Brother,}$

✌︎Thank you✌︎

$\large\red{\underbrace{\overbrace\mathtt{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀DÎVYĀ᭄ÑSHÛ✿》࿐}}}}}}}}}}}}}}$

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀FOLLOW✿》࿐}}}}}}}}}}}}}}$

Answer 2

Solve this question by using below formula.

Product of 2 numbers = product of their HCF and LCM

144 * x = 12 * 5040

x = (12*5040)/144 = 420