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The difference of two numbers is 4. The larger number is 8 less than twice the smaller number. Find the two numbers.​

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Answer:

larger number = 16

smaller number = 12

Step-by-step explanation:

let the larger number = x

let the smaller number = y

Difference between the two numbers is 4:

x - y = 4

The larger number is 8 less than twice the smaller number

x = 2y - 8

Rewrite x - y = 4 to make x the subject:

x = 4 + y

Substitute x = 4 + y  into  x = 2y - 8 and solve for y:

4 + y = 2y - 8

4 + 8 = 2y - y

12 = y

Now substitute the found value for y into x - y = 4 and solve for x:

x - 12 = 4

x = 4 + 12 = 16

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