The difference between two numbers is 7. Find the two numbers if the larger number is three times the smaller.

Using the a system of linear equations, the two number required are 10.5 and 3.5

Let the numbers be x and y :

x = 3y - - - - (1)

x - y = 7 - - - (2)

Substituting (1) into (2)

3y -y = 7

2y = 7

y = 7/2

y = 3.5

From (1)

x = 3(3.5)

x = 10.5

Hence, the two numbers are 10.5 and 3.5.

Learn more : link

The smaller number is 3.5 and the bigger number is 10.5

Step-by-step explanation:

Let x be the bigger number and the smaller number be x-7

x=(x-7)*3

Simplify:

x=3x-21

Simplify:

-2x=-21

Simplify

x=10.5

x-7=3.5

You can also do guess and check which is what I did when I was learning how to do that.