SOLUTION: the question is ... the sum of two numbers is 23. twice the greater number added to three times the smaller number is 57. find the numbers

Question 291126: the question is ... the sum of two numbers is 23. twice the greater number added to three times the smaller number is 57. find the numbers
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"the sum of two numbers is 23" means that and "twice the greater number added to three times the smaller number is 57" tells us that . Here we're assuming that 'x' is the greater number.

Start with the first equation.

Solve for 'y' by subtracting 'x' from both sides.

Move onto the second equation.

Plug in

Distribute

Subtract 69 from both sides.

Combine like terms.

Divide both sides by -1 to isolate 'x'

Go back to the equation previously solved for 'y'.

Plug in

Add

So the solutions are and which means that the two numbers are 12 and 11.
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