The greater of two numbers is 6.8 more than three times the smaller the difference between two numbers 21.6 find the numbers

Answer 1

Hi Zion,

Let's use the variable, x , to represent the smaller of the numbers.

Since the larger number is 6.8 more than three times the smaller, we can write the following expression

for the larger number: 3x + 6.8

Because the difference of the two numbers is 21.6, we can write and solve the following equation to find the value of the smaller number first:

3x + 6.8 - x = 21.6

Now combine like terms and use inverse operations to solve for x:

2x + 6.8 = 21.6

2x + 6.8 - 6.8 = 21.6 - 6.8

2x = 14.8

2x/2 = 14.8 / 2

x = 7.4

The smaller number is 7.4

The larger number will be 3 • 7.4 + 6.8 = 22.2 + 6.8 = 29

The larger number is 29