SOLUTION: what is the answer to ? The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers. i dont unde

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Question 351722: what is the answer to ?
The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers.
i dont understand this !
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your variables.
Let A be the smaller number.
Let B be the greater number.
Now translate the words into equations using your variables.
"greater is 1 more than twice the smaller"
1.B=1%2B2A
.
.
"Three times the greater exceeds 5 times the smaller by 10"
2.3B=5A%2B10
.
.
Substitute eq. 1 into eq. 2 for B, and solve for A.
3%281%2B2A%29=5A%2B10
3%2B6A=5A%2B10
highlight%28A=7%29
Then from eq. 1,
B=1%2B2%287%29
B=1%2B14
highlight%28B=15%29