Rushil and Timmy shared a sum of money in the ratio 3:4. If Timmy received R 6 more than Rushil, find the total sum of money shared between them.
Let the amount of money that Rushil received be 3x.
According to the given ratio, Timmy received 4x.
It is also given that Timmy received R 6 more than Rushil.
So, 4x = 3x + R 6
Subtracting 3x from both sides, we get:
x = R 6
So, Rushil received R 6 and Timmy received 4x = 4(R 6) = 4R 6 = R 24.
The total sum of money shared between Rushil and Timmy is 3x + 4x = 7x = 7(R 6) = R 42.
To find the total sum of money shared between Rushil and Timmy, we can use the concept of ratios. Let's say the ratio of the sum of money shared between them is 3:4.
Let's assume that Rushil received 3x amount of money, and Timmy received 4x amount of money.
According to the given information, Timmy received R 6 more than Rushil. Therefore, we can set up the equation:
4x = 3x + 6
Now, let's solve the equation to find the value of x.
Subtracting 3x from both sides, we get:
x = 6
Now that we know x = 6, we can substitute this value back into either of the equations to find the amounts of money received by Rushil and Timmy.
Rushil received 3x = 3 * 6 = R 18.
Timmy received 4x = 4 * 6 = R 24.
Finally, to find the total sum of money shared between them, we add Rushil's amount and Timmy's amount:
Total sum = Rushil's amount + Timmy's amount = R 18 + R 24 = R 42.
Therefore, the total sum of money shared between Rushil and Timmy is R 42.
The shares are 3x and 4x. They tell you also that
4x = 3x+6