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Popular Word Problems >

three numbers are in the ratio 2:4:5. if the sum of the three numbers is 209. what are the numbers

Solution

t h ree n u mb ers a re in t h e r a t i o 2 : 4 : 5. i f t h e s u m o f t h e t h ree n u mb ers i s 209. w ha t a re t h e n u mb ers

Solution

The numbers : 38, 76, 95

Solution steps

Represent the numbers in ratio 2:4:5 with

x

2 x

4 x

5 x

Write an equation for the sum:

2 x + 4 x + 5 x = 209

Solve for

x, 2 x + 4 x + 5 x = 209 : x = 19

2 x = 2 \cdot 19 = 38

4 x = 4 \cdot 19 = 76

5 x = 5 \cdot 19 = 95

The numbers : 38, 76, 95

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