Question

the ratio of 2 terms are
a:b = 2:3
b:c = 4:5
Find the ratio in
9:b:c​

Answer 1

9:12:15

I hope this is right

Answer 2

Given data,

a:b=2:3

b:c=4:5

To calculate,

a:b:c=?

Calculations,

$given \: that \\ \frac{a}{b} = \frac{2}{3} \\ and \\ \frac{b}{c} = \frac{4}{5} assume \: that \\ \frac{a}{b} = \frac{8}{12} \: \: \: ...multiplied \: by \: \frac{4}{4} \\ and \\ \frac{b}{c} = \frac{12}{15} \: \: \: ...multiplied \: by \: \frac{3}{3} \\ therefore \\ let \\we \: get \\ a = 8k \\ b = 12k \\ c = 15k \\ where \: k \: is \: constant$

.'. a:b:c=8k:12k:15k

a:b:c=8:12:15

Final answer,

a:b:c=8:12:15

hope it helps to you☺️