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

Answer:

Step-by-step explanation:

Let the number of mysteries solved=x, then according to question, number of mysteries Evan solved=$\frac{7}{9}x$, also together they solve all the mysteries, thus

$14+\frac{7}{9}x=x$

$14=x-\frac{7}{9}x$

$14=\frac{9x-7x}{9}$

$14=\frac{2x}{9}$

$2x=126$

$x=63$

Thus, total number of mysteries solved=63.

Also, total number of mysteries Evan solved=$\frac{7}{9}x= \frac{7}{9}{\times}63=49$.