Answer:
Rayad originally had 20 fish.
Step-by-step explanation:
We're told that Rayad has twice as many fish as Anna, we can represent their number of fish as
Anna: a fishes
Rayad: 2a fishes.
We're then told that Rayad gives 5 to Anna, meaning he loses 5 and Anna gains 5.
Anna: a + 5 fishes
Rayad: 2a - 5 fishes
Lastly, we're told that after the exchange, they both have the same amount of fish, meaning their quantities are equal.
Anna = Rayad
a + 5 = 2a - 5
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We need to find how many fishes Rayad had originally (2a).
So, we solve for a and plug it into the expression 2a.
a + 5 + 5 = 2a (add 5 both sides)
a + 10 = 2a (simplify)
10 = 2a - a (subtract a both sides)
10 = a (simplify)
Rayad = 2a = 2(10) = 20 fishes