Question

Evan and Riley are detectives at the Super Sleuths Detective Agency. Even solved 7/9 of the mysteries last year. Riley solved 14 mysteries. Together they were able to solve them all. How many mysteries did Evan solve?

Answer 1

Explanation:

Let the number of mysteries solved=x, then according to question, number of mysteries Evan solved=
`(7)/(9)x`, also together they solve all the mysteries, thus

`14+(7)/(9)x=x`

`14=x-(7)/(9)x`

`14=(9x-7x)/(9)`

`14=(2x)/(9)`

`2x=126`

`x=63`

Thus, total number of mysteries solved=63.

Also, total number of mysteries Evan solved=
`(7)/(9)x= (7)/(9){*}63=49`.