Question 210393
Let x be the larger number and y be the smaller number.
From the information given, you can write 2 equations:
Equation #1; {{{x-y=67}}}
Equation #2: {{{x=6y-3}}}
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You now have 2 equations and 2 unknowns. Anytime you have as many equations as unknowns, you can solve the problem!
Substitute the expression for x in Equation #2 into Equation #1:
{{{6y-3-y=67}}}
Solve for y:
{{{5y=70}}}
{{{highlight(y=14)}}}
To get x, substitute this value of y into Equation #2 and solve for x. I will leave that part up to you.
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Good Luck,
tutor_paul@yahoo.com