SOLUTION: The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.

Algebra.Com
Question 464478: The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.

Answer by amoresroy(361)   (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.
Let x = the smaller number
y = the larger number
1st equation:
y - x = 14
2nd equation:
y = 2x + 3
Substitute y = 2x + 3 in equation 1 to get
(2x+3)-x = 14
x = 14-3
x = 11
Substitute x = 11 in equation 2 to get
y = 2(11) + 3
y = 25
The numbers are 11 and 25.

RELATED QUESTIONS

the difference of two numbers is 19 the larger number is 3 more than twice the smaller.... (answered by HyperBrain)
The difference of two numbers is 19. The larger number is 3 more than twice the smaller.... (answered by solver91311,stanbon)
The larger of two numbers is 3 more then twice the smaller. The difference of the larger... (answered by lmeeks54)
The difference between two numbers is 4. Twice the larger number is 11 more than 3 times... (answered by venugopalramana)
the difference of two numbers is 3 twice the smaller is 6 more than the larger.. find the (answered by Mathtut)
The sum of two numbers is 23. the difference between three times the smaller and seven is (answered by nerdybill)
The sum of two numbers is twice their difference. The larger number is 6 more than twice... (answered by checkley71)
The sum of two numbers is twice their difference. The larger number is 6 more than twice... (answered by ptaylor)
The sum of two numbers is twice their difference. The larger number is 7 more than twice... (answered by ewatrrr)