Question

What is x in the following ration equation `=> x:(23/42 +x)=8/25 : 14/15`?

What is x in the following ration equation: `x:(23/42 +x)=8/25 : 14/15`?

Answer 1

`x=2/7`

Explanation:

If `a:b=c:d` then `axxd=bxxc`, hence

`x xx14/15=(23/42+x)xx8/25`

or multiplying both sides by `25/8`

`(14x)/15xx25/8=23/42+x`

or
`(7cancel14x)/(3cancel15)xx(5cancel25)/(4cancel8)=23/42+x`

`(35x)/12=23/42+x` or

`(35x)/12-x=(35x)/12-(12x)/12=23/42`

or `(23x)/12=23/42`

or `x=cancel23/(7cancel42)xx(2cancel12)/cancel23`

or `x=2/7`