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Question Number 12830 by chux last updated on 03/May/17

the LCM and HCF of 30 and a certain number are 150 and 5 respectively. find the number please help

$$\mathrm{the}\:\mathrm{LCM}\:\mathrm{and}\:\mathrm{HCF}\:\mathrm{of}\:\mathrm{30}\:\mathrm{and}\:\mathrm{a}\: \\ $$$$\mathrm{certain}\:\mathrm{number}\:\mathrm{are}\:\mathrm{150}\:\mathrm{and}\:\mathrm{5}\: \\ $$$$\mathrm{respectively}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{number} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help} \\ $$

Answered by RasheedSoomro last updated on 04/May/17

If A and B are two numbers and L and H are their lcm and hcf respectively then A×B=L×H Here A=30, L=150, H=5 30×B=150×5 B=((150×5)/(30))=25 Other number is 25

$$\mathrm{If}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{are}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{and}\:\mathrm{L}\:\mathrm{and}\:\mathrm{H} \\ $$$$\mathrm{are}\:\mathrm{their}\:\mathrm{lcm}\:\mathrm{and}\:\mathrm{hcf}\:\mathrm{respectively}\:\mathrm{then} \\ $$$$ \\ $$$$\:\:\:\:\:\mathrm{A}×\mathrm{B}=\mathrm{L}×\mathrm{H} \\ $$$$\mathrm{Here}\:\mathrm{A}=\mathrm{30},\:\mathrm{L}=\mathrm{150},\:\mathrm{H}=\mathrm{5} \\ $$$$\:\:\:\:\:\:\mathrm{30}×\mathrm{B}=\mathrm{150}×\mathrm{5} \\ $$$$\:\:\:\:\:\:\:\mathrm{B}=\frac{\mathrm{150}×\mathrm{5}}{\mathrm{30}}=\mathrm{25} \\ $$$$\mathrm{Other}\:\mathrm{number}\:\mathrm{is}\:\mathrm{25} \\ $$

Commented by 9(/'D-B 3HE1H last updated on 05/May/17

ThanX

$${ThanX} \\ $$

Commented by chux last updated on 04/May/17

thanks i really appreciate

$$\mathrm{thanks}\:\mathrm{i}\:\mathrm{really}\:\mathrm{appreciate} \\ $$$$ \\ $$

Commented by prakash jain last updated on 04/May/17

Rasheed, happy to see u back on this forum.

$$\mathrm{Rasheed},\:\mathrm{happy}\:\mathrm{to}\:\mathrm{see}\:\mathrm{u}\:\mathrm{back} \\ $$$$\mathrm{on}\:\mathrm{this}\:\mathrm{forum}. \\ $$

Commented by RasheedSoomro last updated on 05/May/17

Sir prakash jain, Feels the forum strange without you, Yozzii, filup and 123456−I mean active participation.(Although at the moment also, forum is not empty from experts!)

$$\boldsymbol{\mathrm{Sir}}\:\boldsymbol{\mathrm{prakash}}\:\boldsymbol{\mathrm{jain}},\:\mathrm{Feels}\:\mathrm{the}\:\mathrm{forum}\:\mathrm{strange} \\ $$$$\mathrm{without}\:\mathrm{you},\:\mathrm{Yozzii},\:\mathrm{filup}\:\mathrm{and}\:\mathrm{123456}−\mathrm{I}\:\mathrm{mean}\: \\ $$$$\mathrm{active}\:\mathrm{participation}.\left(\mathrm{Although}\:\mathrm{at}\:\mathrm{the}\:\mathrm{moment}\:\right. \\ $$$$\left.\mathrm{also},\:\mathrm{forum}\:\mathrm{is}\:\mathrm{not}\:\mathrm{empty}\:\mathrm{from}\:\mathrm{experts}!\right) \\ $$

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