Question

Sarah has more money than Hui Chin. If Sarah gives RM10 to Hui Chin, both of them will have the same amount of money. If Hui Chin gives RM5 to Sarah, Sarah will have four times the amount of money that Hui Chin has. How much does each of them have ?​

Answer 1

Sarah has RM45 and Hui Chin has RM35.

Step-by-step explanation:

Let's start by assigning variables to the amounts of money that Sarah and Hui Chin have. Let's say Sarah has x amount of money and Hui Chin has y amount of money.

According to the first statement, Sarah has more money than Hui Chin, so x > y.

The second statement tells us that if Sarah gives RM10 to Hui Chin, both of them will have the same amount of money. So we can set up an equation: x - 10 = y + 10.

The third statement states that if Hui Chin gives RM5 to Sarah, Sarah will have four times the amount of money that Hui Chin has. We can set up another equation: x + 5 = 4(y - 5).

Now we can solve these two equations simultaneously to find the values of x and y. Solving these equations will give us x = 45 and y = 35.

Therefore, Sarah has RM45 and Hui Chin has RM35.