SOLUTION: Please help me set this up and solve it: The larger of two numbers is 5 less than 8 times the smaller. their sum is 94. find the numbers.

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Question 652858: Please help me set this up and solve it:
The larger of two numbers is 5 less than 8 times the smaller. their sum is 94. find the numbers.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let be the larger of two numbers and the smaller of two numbers
given:
The larger of two numbers is less than times the smaller,
so we have .....1
their sum is , so ....2
solve the system:
.....1
....2
________________________
.....1.. solve for
....substitute in 2

....2. solve for




now find




















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