document.write( "Question 404140: 6 years ago Bob was 4 times as old as Peri. In 9 years he will be 3/2 as old. \n" ); document.write( "

Algebra.Com's Answer #285648 by stanbon(75887) $\"\"$ $\"About$

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6 years ago Bob was 4 times as old as Peri. In 9 years he will be 3/2 as old.
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "(b-6) = 4(p-6)
\n" ); document.write( "(b+9) = (3/2)(p+9)
\n" ); document.write( "========================
\n" ); document.write( "Rearrange:
\n" ); document.write( "b-4p = -24+6
\n" ); document.write( "2b+18 = 3p+27
\n" ); document.write( "---
\n" ); document.write( "Modify:
\n" ); document.write( "b - 4p = -18
\n" ); document.write( "2b -3p = 9
\n" ); document.write( "---
\n" ); document.write( "Finally:
\n" ); document.write( "2b - 8p = -36
\n" ); document.write( "2b - 3p = 9
\n" ); document.write( "----
\n" ); document.write( "Subtract top from bottom and solve for \"p\":
\n" ); document.write( "5p = 45
\n" ); document.write( "p = 9 (Peri's age now)
\n" ); document.write( "---
\n" ); document.write( "Solve for \"b\":
\n" ); document.write( "b - 4p = -18
\n" ); document.write( "b -4*9 = -18
\n" ); document.write( "b = -18+36
\n" ); document.write( "b = 18 (Bob's age now)
\n" ); document.write( "=========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========== \n" ); document.write( "

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