Question

If 2A:3B=5:6 and 3B:2C=36:15, then find A:C​

Answer 1

A : C = 2 : 1

Explanation:

Expressing the ratios in fractional form

`(2A)/(3B)` =
`(5)/(6)` ( cross- multiply )

15B = 12A ( divide both sides by 15 )

B =
`(12)/(15)` A =
`(4)/(5)` A

and

`(3B)/(2C)` =
`(36)/(15)` ( cross- multiply )

45B = 72C ( substitute B =
`(4)/(5)` A )

45 ×
`(4)/(5)` A = 72C

36A = 72C ( divide both sides by C )

36 ×
`(A)/(C)` = 72 ( divide both sides by 36 )

`(A)/(C)` =
`(72)/(36)` =
`(2)/(1)`

Then

A : C = 2 : 1