A and B each have a certain number of mangoes. A says to B, “if you give 30 of your mangoes, I will have twice as many as left with you.” B replies, “if you give me 10, I will have thrice as many as left with you.” How many mangoes does each have?

Explanation

To solve the problem, we will define the number of mangoes A and B have as variables and set up equations based on the statements made by A and B.

Let:
- \( X \) = number of mangoes A has
- \( Y \) = number of mangoes B has

### Step 1: Set up the first equation based on A's statement
A says to B, “If you give 30 of your mangoes, I will have twice as many as left with you.”
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