One number is 6 more than another. twice the larger number is 5 times the smaller. which is the smaller number?

Question

One number is 6 more than another. twice the larger number is 5 times the smaller. which is the smaller number? NEED HELP ASAP

Answer 1

Let the Smaller number be x

The larger number be x+6

Twice the larger number would be 2(x+6)

5 times the smaller would be 5x

twice the larger number is 5 times the smaller.

IS means =

2(x+6)= 5x

Distribute the 2

2x+12=5x

Subtract 2x from both sides

12=3x

Divide by 3

x=4

Smaller number is 4

Larger number was 6 more so it is 10