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Popular Word Problems >

two numbers are in a ratio of 5:2. One half of their sum is 10 1/2 . Find the numbers.

Solution

tw o n u mb ers a re in a r a t i o o f 5 : 2. O n e ha l f o f t h e i r s u m i s 10 \frac{1}{2} . F in d t h e n u mb ers .

Solution

The numbers : 15, 6

Solution steps

Represent the numbers in ratio 5:2 with

x

5 x

2 x

Write an equation for the sum:

\frac{1}{2} (5 x + 2 x) = \frac{21}{2}

Solve for

x, \frac{1}{2} (5 x + 2 x) = \frac{21}{2} : x = 3

5 x = 5 \cdot 3 = 15

2 x = 2 \cdot 3 = 6

The numbers : 15, 6

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