SOLUTION: please help me solve- The larger of two numbers is 9 more than forur times tha smaller. If the larger is incresed by four times the smaller, the result is 40. Find the numbers

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: please help me solve- The larger of two numbers is 9 more than forur times tha smaller. If the larger is incresed by four times the smaller, the result is 40. Find the numbers      Log On


   



Question 111168: please help me solve-
The larger of two numbers is 9 more than forur times tha smaller. If the larger is incresed by four times the smaller, the result is 40. Find the numbers

Found 2 solutions by doukungfoo, MathLover1:
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the smaller number x
smaller number = x
Given: the larger number is 9 more than four times the smaller
Write this in terms of x
larger number = 4x + 9
Given: if the larger number is increased by four times the smaller the result is 40
Write this as an equation and solve for x
larger number plus four times smaller equals forty
(4x+9) + 4x = 40
4x + 9 + 4x = 40
8x + 9 = 40
8x = 31
x = 3.875
So the smaller number is 3.875
use this to find the larger number
larger number = 4x + 9
larger number = 4(3.875) + 9
larger number = 15.5 + 9
larger number = 24.5



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if the larger+_number+=+x is 9 more than four+times smaller_number+=+y, then we have:
x+=+y+%2B+9
If the x is increased by 4y, the result is 40, we have:
x+%2B+4y+=+40……….now we can plug in the value for x from above, and we will have:
+y+%2B+9+%2B+4y+=+40…………………….solve for y
++9+%2B+5y+=+40………………………….move 9 to the right
++5y+=+40+-+9
++5y+=+31
++y+=+31
++y+=+6.2
Now find x: go back to this formula x+=+y+%2B+9 and plug in the value for y
x+=+y+%2B+9
x+=+6.2+%2B+9
x+=+15.2+

Check:
x+%2B+4y+=+40……….plug in x and y values
15.2++%2B+4%2A6.2++=+40………
15.2++%2B+24.8=+40……….
40+=+40