3a-4b-5c-2a-3b-c-146-c-

Question Number 10076 by konen last updated on 23/Jan/17

3 a = 4 b = 5 c

2 a + 3 b - c = 146

\Rightarrow c = ?

Answered by ridwan balatif last updated on 23/Jan/17

3 a = 5 c \to a = \frac{5}{3} c

4 b = 5 c \to b = \frac{5}{4} c

2 a + 3 b - c = 146

2 (\frac{5}{3} c) + 3 (\frac{5}{4} c) - c = 146

\frac{73}{12} c = 146

c = 2

Answered by ridwan balatif last updated on 23/Jan/17

another way

2 a + 3 b - c = 146

- - - - - - - - - \times 12

24 a + 36 b - 12 c = 146 \times 12

8 (3 a + 4 b) + 4 b - 12 c = 146 \times 12

8 (5 c + 5 c) + 5 c - 12 c = 146 \times 12

73 c = 146 \times 12

c = 24

Commented by konen last updated on 23/Jan/17

thank you ♡

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