Question

If 3A = 2B = 5C, then find A:B:C​

Answer 1

Step-by-step explanation:

Let 3A=2B=5C

Then =A=

3

1

, B=

2

1

, =

5

1

∴A:B:C=

3

1

:

2

1

:

5

1

=

30

10:15:6

=10:15:6

Answer 2

Answer:

Let 3A = 2B = 5C =k

$A = \frac{k}{3} ,B = \frac{k}{2} \: and \: C \: = \frac{k}{5} \ \\ \\ \\ A:B:C = \frac{k}{3} : \frac{k}{2} : \frac{k}{5} \\ \\ \\ A:B:C = \frac{k}{3} \times 30: \frac{k}{2} \times 30: \frac{k}{5} \times 30 \\ \\ A:B:C = 10k:15k:6k \\ \\ hence \: \: A:B:C \: = 10:15:16$