Four apples and two oranges cost Rs. 30 and one apple and 3 oranges costs Rs. 15. How much does each apple cost?

Answer: 6

We are given two equations:

Let:

From the problem:

Equation (1):
$4x + 2y = 30$
Divide the whole equation by 2:
→ $2x + y = 15$ → (3)

Equation (2):
$x + 3y = 15$ → (2)

From (3):
$y = 15 - 2x$ → (4)

Substitute (4) into (2):
$x + 3(15 - 2x) = 15$
$x + 45 - 6x = 15$
$- 5 x + 45 = 15$
$- 5 x = 15 - 45 = - 30$

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