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LiRa [457]
3 years ago
14

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?
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

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.

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