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Popular Word Problems >

Two numbers are in a ratio of 7:3. One third of their sum is 30. Find the numbers

Solution

Tw o n u mb ers a re in a r a t i o o f 7 : 3. O n e t hi r d o f t h e i r s u m i s 30. F in d t h e n u mb ers

Solution

The numbers : 63, 27

Solution steps

Represent the numbers in ratio 7:3 with

x

7 x

3 x

Write an equation for the sum:

\frac{1}{3} (7 x + 3 x) = 30

Solve for

x, \frac{1}{3} (7 x + 3 x) = 30 : x = 9

7 x = 7 \cdot 9 = 63

3 x = 3 \cdot 9 = 27

The numbers : 63, 27

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