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From the problem you know two things. The two numbers have a quotient of 9 and a difference of 56. Step 1: Write these facts as equations. x/y = 9 x - y = 56 Step 2: Take one equation and solve for one of the variables. x/y = 9 (Multiply both sides by y) x = 9y Step 3: Substitute this result into the other equation and solve for variable. x - y = 56 9y - y = 56 8y = 56 y = 7 Step 4: Plug this result into either equation and solve for other variable. x - y = 56 x - 7 = 56 x = 63 Step 5: Test your answer in both equations. Is the result correct? x = 63; y = 7 63 - 7 = 56? YES 63/7 = 9? YES The two numbers are 63 and 7.
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Earn +20 ptsQ: What two numbers have the quotient of 9 and the difference of 56?
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