Three numbers are in the ratio 1:3:4. If the difference between the two smaller ones is 10, what are the numbers?
(x+10)/x = 3/1
x = 5
So the numbers are 5:15:20
or
let the numbers be x, 3x, and 4x
3x - x = 10
x = 5
the numbers are 5, 15, and 20
To solve this problem, we need to determine the three numbers that are in the given ratio. We can form an equation based on the given information to find the values of the numbers.
Let's assume that the three numbers in the ratio are x, 3x, and 4x.
According to the given information, the difference between the two smaller numbers is 10. So, we can form the equation:
3x - x = 10
Simplifying the equation, we have:
2x = 10
Dividing both sides by 2, we get:
x = 5
Now, we can find the value of the other two numbers:
x = 5
3x = 3 * 5 = 15
4x = 4 * 5 = 20
Therefore, the three numbers are 5, 15, and 20.