SOLUTION: The sum of two numbers is 24. Seven times the smaller number is the same as 5 times the larger number. Find the smaller number.

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Question 1050899: The sum of two numbers is 24. Seven times the smaller number is the same as 5 times the larger number. Find the smaller number.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=24
.
.
2.7A=5B
Multiply eq. 1 by 5,
5A%2B5B=120
Now substitute from eq. 2,
5A%2B7A=120
12A=120
A=10
So then using eq. 1,
10%2BB=24
B=14