SOLUTION: THE DIFFERENCE OF TWO NUMBERS IS 88. THE SECOND NUMBER IS 20% OF THE FIRST NUMBER. WHAT ARE THE NUMBERS? TRANSLATE INTO A PAIR OF LINEAR EQUATIONS IN TWO VARIABLES AND SOLVE USIN

Question 296468: THE DIFFERENCE OF TWO NUMBERS IS 88. THE SECOND NUMBER IS 20% OF THE FIRST NUMBER. WHAT ARE THE NUMBERS? TRANSLATE INTO A PAIR OF LINEAR EQUATIONS IN TWO VARIABLES AND SOLVE USING ELIMINATION OR SUBSTITUTION METHOD.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
THE DIFFERENCE OF TWO NUMBERS IS 88. THE SECOND NUMBER IS 20% OF THE FIRST NUMBER. WHAT ARE THE NUMBERS?
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Equations:
x - y = 88
y = 0.20x
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Solve the 1st equation for "x" and substitute into the 2nd equation:
x = y+88
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y = 0.20(y+88)
0.8y = 0.2*88
y = (1/4)(88)
y = 22
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Since x = y+88, x = 22+88 = 110
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Cheers,
Stan H.
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