Question

If a:b=2:3and b:c=4:5,find a:b:c

Answer 1

Step-by-step explanation:

a : b : c

2 : 3 : 3

4 : 4 : 5

equals to:

8: 12 : 15

Answer 2

Answer:

$\: \: \: \: \: \: a \: : \: b = 2 \: : \: 3 \\ \therefore \: \frac{a}{b} = \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \\ \therefore \: a \: : \: b = 8 \: : \: 12 \\ \\ \: \: \: \: \: \: b \: : \: c = 4 \: : \: 5 \\ \therefore \: \frac{b}{c} = \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \\ \therefore \: b \: : \: c = 12 \: : \: 15 \\ \\ \purple{\boxed{\therefore \: a \: : \: b \: : \: c = 8 \: : \: 12 \: : \: 15}}$