Question

If the ratio numbers is 2:3 and their lcm is 54 then the sum of the two numbers is solution

Answer 1

$\text{Let the two numbers be x and y.}$

$\text{Then, x:y=2:3}$

$\implies\,x=2k\text{ and }y=3k$

$\text{Their L.C.M= 2\times\;3\times\;k=6k }$

$\text{But, L.C.M=54}$

$\implies\;6k=54$

$\implies\;k=9$

$\text{Now,}$

$x=18\text{ and }y=27$

$\therefore\; x+y=18+27=45$

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The ratio of two natural numbers is 4:5 and their lcm is 360

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Answer 2

Answer:

Let the two numbers be x and y.

\text{Then, x:y=2:3}Then, x:y=2:3

\implies\,x=2k\text{ and }y=3k⟹x=2k and y=3k

\text{Their L.C.M=$2\times\;3\times\;k=6k$}Their L.C.M=2×3×k=6k

\text{But, L.C.M=54}But, L.C.M=54

\implies\;6k=54⟹6k=54

\implies\;k=9⟹k=9

\text{Now,}Now,

x=18\text{ and }y=27x=18 and y=27

\therefore\; x+y=18+27=45∴x+y=18+27=45

Find more:

The ratio of two natural numbers is 4:5 and their lcm is 360

https://brainly.in/question/4980541#

Step-by-step explanation:

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