Question

if a:b = 3:2 and b:c = 4:5, finda:c​

Answer 1

Answer:

3:5 mark me brainlest,,,,,,,,

Answer 2

Step-by-step explanation:

Required Answer :-

$\sf {a:b=3:2,b:c=4:5} \\ \longrightarrow \sf {{\dfrac {a}{b}}={\dfrac {3}{2}}} \\ \longrightarrow \sf{3b=2a}$

$\sf {{\dfrac {b}{c}}={\dfrac {4}{5}}} \\ \longrightarrow \sf {5b=4c}$

• Now 3b=5b

$\sf {{\dfrac {{\bcancel {3b}}}{{\bcancel {5b}}}}={\dfrac {2a}{4c}}} \\ \longrightarrow \sf {2a=4c} \\ \longrightarrow \sf {a=2c} \\ \therefore \sf {a:c=1:2}$