Question 1066221: I want to know the meaning of the word "exceeds" in math algebra word sums. My question is "the sum of two numbers is 18. Three times the greater number exceeds four times the smaller number by 5. Find the number."Please help me!!!
My solution so far:
3x + 5 = 4x ???
Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256)   (Show Source):
Answer by MathTherapy(10553)  (Show Source):
You can put this solution on YOUR website! I want to know the meaning of the word "exceeds" in math algebra word sums. My question is "the sum of two numbers is 18. Three times the greater number exceeds four times the smaller number by 5. Find the number."Please help me!!!
My solution so far:
3x + 5 = 4x ???
"Exceeds" means greater, or more than. For the last sentence, I think you mean, "Find the numbers."
Let the smaller number be S
Then LARGER number is: 18 - S (If they sum to 18, and one is S, the other MUST be 18 - S)
Three times the GREATER/LARGER number means: 3(18 - S) = 54 - 3S
Four times the SMALLER number means: 4S
Since 3 times the larger EXCEEDS 4 times the smaller by 5, we can say that: 54 - 3S = 4S + 5 (This is because the LEFT SIDE is greater
than the right side by 5, so we can either SUBTRACT 5 from the left, or ADD 5 to the right side). I chose to ADD 5 to the right side.
54 - 3S = 4S + 5 ------ Bringing down the equation
+ 3S + 3S ------ Adding 3S to both sides of equation
54 = 7S + 5
- 5 - 5 ------ Subtracting 5 on both sides
49 = 7S
S, or smaller number = 
Larger number = 
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