SOLUTION: The larger of 2 numbers is 7 less than twice the smaller number. If the sum of the numbers is 47 find both numbers

Click here to see ALL problems on Numbers Word Problems

Question 932640: The larger of 2 numbers is 7 less than twice the smaller number. If the sum of the numbers is 47 find both numbers

Found 2 solutions by TimothyLamb, ewatrrr:
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
x = larger number
y = smaller number
---
x = 2y - 7
x + y = 47
---
put the system of linear equations into standard form
---
x - 2y = -7
x + y = 47
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = larger number = 29
y = smaller number = 18
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the larger. y the smaller
x -2y = -7
2(x + y = 47)
3x = 87
x = 29, the larger. the smaller is 18 , x +7 = 2y
and...checking
Sum = 47