document.write( "Question 120555: Last year Sue was three times as old as Pablo. Next year she will be twice as old as Pablo is. How old is each now?\r
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Algebra.Com's Answer #88393 by ankor@dixie-net.com(22740)\"\" \"About 
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Last year Sue was three times as old as Pablo. Next year she will be twice as old as Pablo is. How old is each now?
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\n" ); document.write( "This is not hard
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\n" ); document.write( "Let s = Sue's age now, Let p = Pab's age now
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\n" ); document.write( "Last year their ages would be:
\n" ); document.write( "(s-1) and (p-1), right?
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\n" ); document.write( "It said,\"Last year Sue was three times as old as Pablo.\" so we can say:
\n" ); document.write( "(s-1) = 3(p-1)
\n" ); document.write( "s - 1 = 3p - 3; just do some basic algebra on it
\n" ); document.write( "s = 3p - 3 + 1
\n" ); document.write( "s = (3p - 2)
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\n" ); document.write( " Next year she will be twice as old as Pablo is. How old is each now?
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\n" ); document.write( "Next year their ages would be:
\n" ); document.write( "(s+1) and (p+1), right?
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\n" ); document.write( "It says,\"Next year she will be twice as old as Pablo is.\" so we can say:
\n" ); document.write( " (s+1) = 2(p+1)
\n" ); document.write( "s + 1 = 2p + 2
\n" ); document.write( "s = 2p + 2 - 1
\n" ); document.write( "s = 2p + 1
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\n" ); document.write( " How old is each now?:
\n" ); document.write( "Using the 1st equation we found s = (3p-2), substitute that for s in the 2nd eq
\n" ); document.write( "3p - 2 = 2p + 1
\n" ); document.write( "3p = 2p + 1 + 2
\n" ); document.write( "3p - 2p = 3
\n" ); document.write( "p = 3 yrs is Pab's present age
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\n" ); document.write( "Find Sue's age using s = 2p + 1
\n" ); document.write( "s = 2(3) + 1
\n" ); document.write( "s = 6 + 1
\n" ); document.write( "s = 7 yrs is Sue's present age
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\n" ); document.write( "Check out our solutions by using the two sentences:
\n" ); document.write( "Last year Sue was three times as old as Pablo.
\n" ); document.write( " (7-1) = 3(3-1) true
\n" ); document.write( "and
\n" ); document.write( "Next year she will be twice as old as Pablo is.
\n" ); document.write( " (7 + 1) = 2(3+1) also true
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\n" ); document.write( "A lot of steps, but each step is logical and simple, did you understand this?
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