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
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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) (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) (Show Source): You can put this solution on YOUR website!
if the is more than , then we have:
If the is increased by , the result is , we have:
……….now we can plug in the value for from above, and we will have:
…………………….solve for
………………………….move to the right
Now find : go back to this formula and plug in the value for
Check:
……….plug in and values
………
……….
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