Question

The ratio of three numbers are 7:3:2 these numbers have a sum of 228 what is the difference between the largest and the smallest of these three numbers

Answer 1

To find the difference between the largest and smallest number in a ratio, you need to determine the value of each part of the ratio. In this case, the difference is 95.

Step-by-step explanation:

To find the difference between the largest and smallest number in a ratio, we first need to determine the value of each part of the ratio.

• Let's assume the numbers in the ratio are 7x, 3x, and 2x.
• The sum of these numbers is given as 228, so we can write the equation 7x + 3x + 2x = 228. Simplifying this equation, we have 12x = 228.
• Dividing both sides by 12, we find that x = 19.

• Now that we know the value of x, we can substitute it back into the ratios to find the actual numbers.
• The largest number is 7x, which is equal to 7 * 19 = 133.
• The smallest number is 2x, which is equal to 2 * 19 = 38.
• Therefore, the difference between the largest and smallest number is 133 - 38 = 95.

Answer 2

7x + 3 x + 2x = 228
12x = 228
x = 19

Largest = 7x = 133
Smallest = 2x = 38
Difference = 133 - 38 = 95