SOLUTION: the sum of 2 numbers is 188. the larger number is 24 more than 3 times the smaller. find the numbers

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Question 499968: the sum of 2 numbers is 188. the larger number is 24 more than 3 times the smaller. find the numbers
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
two numbers sum to 188.
x = one number
188 -x = the other number
.
188-x is the larger number (assumption)
.
188-x = 3x + 24
.
Add x to both sides
188 = 4x + 24
.
Subtract 24 from both sides
164 = 4x
so
4x = 164
.
Divide both sides by 4
x = 41
.
188-x = 188-41
188-41 = 147
.
The two numbers are: 41 and 147.
.
Always check your work.
What is 3*41 + 24?
3*41 = 123
+24 = 147
.
Done.