Algebra 2

Question

The difference of two numbers is 4. Three times the smaller minus the larger is 10. Find the numbers.

Answer 1

If x is the smaller and y is the larger,
y-x = 2
3x-y = 10
add them up and you get
2x = 12
x=6
so, y=8

Answer 2

larger --- x
smaller ---- y

x-y = 4 ----> x = y+4

3y - x = 10
sub in the first:
3y - (y+4) = 10
3y - y - 4= 10
2y = 14
y = 7
then x=7+4 = 11

the larger is 11 , the smaller is 7

check: their difference is 4 , check!
3 times the smaller minus the larger is 10
21 = 11 = 10 , check!
my answer is correct

Answer 3

Oops. I misread the problem.