Which Flower Replaces The Question Mark ?

In the above math puzzle, there are Blue Flower, Orange Flower, Red Flower and Purple Flower.

From the first 3 equations, try to solve the 4th equation and find the value of 'Question Mark'.

Answer with detailed explanation is given below.

ANSWER

ORANGE FLOWER

Explanation

Let us assume the following:

Blue Flower = b
Orange Flower = g
Red Flower = r
Purple Flower = p

Equation 1: 2b - g = r

Equation 2: r - g = g

From Equation 2, we get r = g + g
=> r = 2g

By solving Equation 1, we get (Applying value of r);
=> 2b - g = 2g
=> 2b = 3g
=> b = 3g/2

Equation 3: b + g = p
=> Applying value of b;
=> 3g/2 + g = p
=> (3g + 2g)/2 = p
=> 5g/2 = p
=> p = 5g/2

SOLVING 4th EQUATION;

r -p + b
(Applying values)
=> 2g + (5g/2) + (3g/2)
=> (4g - 5g + 3g)/2
=> 2g/2
=> g

So the value of FINAL EQUATION = g = ORANGE FLOWER

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