a + b - c = 0
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» [tex] \colorbox{yellow}{ \sf \: a~:~b~:~c~=~2~:3~:~5}[/tex]
» [tex] \colorbox{yellow}{ \sf \:a~+~b~+~c=70}[/tex]
[tex]~[/tex]
ANSWER
- Determine the value of a
[tex] \sf \: a = \frac{2}{(2 \: + \: 3 \: + 5)} \times 70[/tex]
[tex] \sf \: a= \frac{2}{ \bcancel{10}} \times \bcancel{ 70} {}^{7} [/tex]
[tex] \sf \: a = 14[/tex]
[tex] \: \: [/tex]
- Determine the value of b
[tex] \sf \: b = \frac{3}{(2 \: + \: 3 \: + \: 5)} \times 70[/tex]
[tex] \sf \: b = \frac{3}{ \bcancel{10}} \times \bcancel{7 {0}^{7} }[/tex]
[tex] \sf \: b = 21[/tex]
[tex] \: \: [/tex]
- Determine the value of c
[tex] \sf \: c = \frac{5}{(2 \: + \: 3 \: + \: 5)} \times 70[/tex]
[tex] \sf \: c = \frac{5}{ \bcancel{10}} \times \bcancel{7 {0}^{7} }[/tex]
[tex] \sf \: c = 35[/tex]
[tex] \: \: [/tex]
- Determine the value of a + b - c
= a + b - c
= 14 + 21 - 35
= 35 - 35
= [tex] \underline{ \boxed{ \red{ \sf \: 0}}}[/tex]
[tex] \: \: [/tex]
So, the value of a + b - c is 0.
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