Question

if 2A=3B and 4B=5C ,then A:C is

Answer 1

2A=3B
A=3B/2

4B=5C
C=4B/5

therefore
A:C
=A/C

3B/2 ×5/4B
= 15/8
A:C=15:8

Answer 2

Answer

Find out the ratio of A : C .

To prove

As given

2A=3B

$\frac{A}{B} = \frac{3}{2}$

and  4B=5C

$\frac{B}{C} = \frac{5}{4}$

Multiply both sides $\frac{A}{B} = \frac{3}{2}$ by 5.

we get

$\frac{A\times 5}{B} = \frac{3\times 5}{2}$

$\frac{A}{B} = \frac{3\times 5}{2\times 5}$

$\frac{A}{B} = \frac{15}{10}$

Multiply both sides $\frac{B}{C} = \frac{5}{4}$ by 2.

$\frac{B\times 2}{C} = \frac{5\times 2}{4}$

$\frac{B}{C} = \frac{5\times 2}{4\times 2}$

$\frac{B}{C} = \frac{10}{8}$

Thus

$\frac{A}{B} = \frac{15}{10}$

and

$\frac{B}{C} = \frac{10}{8}$

By using the above ratios

we get

$\frac{A}{C} =\frac{15}{8}$

Therefore

$\frac{A}{C} =\frac{15}{8}$