Question

Three numbers are in the ratio 2:4:6.If their sum is 600, find the numbers​

Answer 1

Answer:

2- 100

4- 200

6- 300

Step-by-step explanation:

please mark my answer as brainliest

Answer 2

Given:

➢ Three numbers are in the ratio 2:4:6

➢Their sum is 600.

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To Find:

❶ The numbers.?

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Solution:

${\sf{\underline{\purple{★According \:to \:the \:question:}}}}$

• Now the sum of the ratios equal 12

so,

$\longmapsto \sf \: 1st \: number = 600 \times \frac{2}{12} \\ \\ \\ \longmapsto \sf \: 2nd \: number = 600 \times \frac{4}{12} \\ \\ \\ \longmapsto \sf \: 3rd \: number = 600 \times \frac{6}{12}$

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$\purple{➷}\:$ Let's evaluate:

$\pink{❶ \: \sf number }= \cancel{600} \times \frac{2} {\cancel{{12}}} \\ \\ \pink{❶ \: \sf number }=100 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \purple{ ❷\: \sf number }= \cancel{600} \times \frac{4} {\cancel{{12}}} \\ \\ \purple{ ❷\: \sf number }=200 \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \blue{ ❸ \: \sf number }= \cancel{600} \times \frac{6} {\cancel{{12}}} \\ \\ \blue{ ❸ \: \sf number }=300 \: \: \: \: \: \: \: \: \: \: \:$

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so, now we got the values of the numbers

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: the\: numbers\:are\:100,200,300}}}}}$

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Verification:

⇴To Check weather we were right let's add up the result and check weather the sum is 600.!

⇛100+200+300

⇛300+300

⇛600

${\huge{\bf{\blue{hence\:verified}}}}\huge\blue \dag$

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↬refer to the attachment for second method

happy answering.!♡

$\sf\red{@MrCostheta}$