Three numbers are in the ratio $2 : 3 : 5$ and the sum of these numbers is $800$ . Find the numbers.

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Solution

Given three no's are in the ratio $2 : 3 : 5$
Let 1st no $= 2 x$
2nd no $= 3 x$
3rd no $= 5 x$
Sum = $800$
$2 x + 3 x + 5 x = 800$
$10 x = 800 \Rightarrow x = 80$
1st no. $= 2 x \Rightarrow 2 \times 80 = 160$
2nd no. $= 3 x \Rightarrow 3 \times 80 = 240$
3rd no. $= 5 x \Rightarrow 5 \times 80 = 400$

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