SOLUTION: One number is 6 more than another number. Three times the lesser number , added to twice the greater number is 2. What is the greater number ?

Question 980354: One number is 6 more than another number. Three times the lesser number , added to twice the greater number is 2. What is the greater number ?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
L=lesser number; G=greater number
.
L=G-6 Use this to substitute for L below.
.
3L+2G=2 Substitute for L from above.
3(G-6)+2G=2
3G-18+2G=2
5G=20
G=4 ANSWER: The greater number is 4.
.
CHECK:
.
L=G-6=4-6=-2 The lesser number is -2.
.
Three times the lesser number , added to twice the greater number is 2:
3L+2G=2
3(-2)+2(4)=2
-6+8=2
2=2
RELATED QUESTIONS
One number is 1 less than 4 times another number. Twice the greater number minus three... (answered by ankor@dixie-net.com)

one number is 8 more than another. if the greater number is added to five times the... (answered by checkley79)

One number is 5 greater than another. If the lesser number is added to two times the... (answered by TimothyLamb)

One number is nine times another. The greater number is 4950 what is the lesser... (answered by macston)

one number is 4 more than another number.three times the greater number equals four time... (answered by ReadingBoosters)

One number is 62 more than another number. If twice the greater number is subtracted from (answered by mananth)

When two numbers are added together, the result is 45. Twice the greater number is six... (answered by mananth)

When 2 numbers are added together the result is 45. Twice the greater number is 10 more... (answered by jorel1380)