SOLUTION: the greater of two numbers is one more than twice the smaller. three times the greater exceeds 5 times the smaller by 10. Find the numbers.

Question 350279: the greater of two numbers is one more than twice the smaller. three times the greater exceeds 5 times the smaller by 10. Find the numbers.
Found 2 solutions by edjones, checkley77:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let x=greater, y=lesser
x=2y+1
3x=5y+10
.
3(2y+1)=5y+10
6y+3=5y+10
y=7
x=15
.
Ed
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X=2Y+1
3X=5Y+10
3(2Y+1)=5Y+10
6Y+3=5Y+10
6Y-5Y=10-3
Y=7 ANS FOR THE SMALLER NUMBER.
X=2*7+1=14+1=15 ANS. FOR THE LARGER NUMBER.
PROOF:
3*15=5*7+10
45=35+10
45=45
RELATED QUESTIONS
The greater of two numbers is 1 more than twice the smaller. Three times the greater... (answered by edjones)
The greater of two numbers is 1 more than twice the smaller. Three times the greater... (answered by oberobic)
the greater of two numbers is one more than twice the smaller. three times the greater... (answered by jorel1380)
the greater of two numbers is 1 more than twice the smaller. three times the greater... (answered by MathLover1)
The greater of two numbers is 1 more than three times the smaller. Four times the greater (answered by lwsshak3)
what is the answer to ? The greater of two numbers is 1 more than twice the smaller.... (answered by Fombitz)
the greater of two numbers is 1 more than twice the smaller.Three times the greater... (answered by ewatrrr)
1. solve for x: 3b-8=10+(4-8b) 2. solve for x: x-3(1-x)=47-x 3. the greater of two... (answered by ReadingBoosters)
what are the numbers to be found in this word problem? :the greater number is 1 more than (answered by edjones)