20-05-2017
Mathematics

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The sum of three numbers is 35. One number is five more than a second number. It is also twice the third. Find the numbers

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20-05-2017

[tex]a+b+c=35[/tex]
[tex]a=b+5[/tex]
[tex]a=2c[/tex]

Substitute a for b + 5 and 2c.

[tex]a + (a-5) + \frac{a}{2} =35[/tex]
[tex] \frac{5}{2} a = 40[/tex]
[tex]a=16[/tex]
[tex]b=11[/tex]
[tex]c=8[/tex]

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