Question

the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number

Answer 1

x=19

y=38

Explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

`y = 2x`

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

`y-12 = 7+x`

To solve for x ;

Substitute 2x for y in the second equation

`2x-12=7+x\\2x-x=7+12\\x = 19`

To solve for y

`If\: y=2x ,\\y = 2* 19\\\\y= 38`

Answer 2

The larger number is 4

Explanation:

4 is the larger number and two is the smaller number..