Question 982013: the difference between two numbers is 2. if three times the larger number minus double the smaller number is 13. find the two numbers Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
L=larger number; S=smaller number
.
L-S=2
L=S+2 Use this to substitute for L below.
.
3L-2S=13 Substitute for L from above.
3(S+2)-2S=13
3S+6-2S=13 Subtract 6 from each side.
S=7 ANSWER 1: The smaller number is 7
.
L=S+2=9 ANSWER 2: The larger number is 9.
.
CHECK:
.
3L-2S=13
3(9)-2(7)=13
27-14=13
13=13
.
