a-3-b-4-c-5-3a-c-42-b-how-is-solution-

Question Number 187008 by mustafazaheen last updated on 12/Feb/23

\frac{a}{3} = \frac{b}{4} = \frac{c}{5} 3 a + c = 42 b = ?

h o w i s s o l u t i o n

Answered by HeferH last updated on 12/Feb/23

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

\frac{a}{c} = \frac{3}{5}; a = 3 k, c = 5 k

3 (3 k) + 5 k = 42

14 k = 42

k = \frac{42}{14} = 3

c = 5 (3) = 15

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

b = \frac{4 \cdot 15}{5} = 12

Answered by Rasheed.Sindhi last updated on 12/Feb/23

\frac{a}{3} = \frac{b}{4} = \frac{c}{5} 3 a + c = 42 b = ?

\frac{3 a}{9} = \frac{c}{5} = \frac{3 a + c}{9 + 5} = \frac{42}{14} = 3

\frac{b}{4} = 3 \Rightarrow b = 12