Question

If 2A=3B and 3A=5C,then find A:B:C

Answer 1

2A = 3B and 3A = 5C

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

$\dfrac{B}{C}$ = $\dfrac{5}{3}$

By cross multiplication,

A : B = 3 × 5 : 2 × 5 = 15 : 10

B : C = 5 × 2 : 3 × 2 = 10 : 6

$\therefore{}$ A : B : C = 15 : 10 : 9

#Hope it helps you (:

Answer 2

Given,

2A = 3B

B = 2A/3

and,

3A = 5C

C = 3A/5

Now,

A:B:C = A : 2A/3 : 3A/5

dividing  by A,

A:B:C = 1 : 2/3 : 3/5

multiplying by  3,

A:B:C = 3 : 2 : 9/5

multiplying by  5,

A:B:C =  = 15 : 10 : 9