document.write( "Question 908979: In 2 years a boy will be three-fourths as old as his sister. Two years ago he was two-thirds as old as she. How old are they?? ? \n" ); document.write( "

Algebra.Com's Answer #551503 by ewatrrr(24785) $\"\"$ $\"About$

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b+ 2 = (3/4)(s+2)
\n" ); document.write( "b = (3/4)s + (3/2) - 2 = $\"%283%2F4%29s+-+1%2F2\"$
\n" ); document.write( "b -2 = (2/3)(s-2)
\n" ); document.write( " $\"%283%2F4%29s+-+1%2F2\"$ - 2 = (2/3)s - 4/3
\n" ); document.write( " $\"%289%2F12%29s+-+%288%2F12%29s+=+-4%2F3+%2B+1%2F2+%2B+2\"$ |Multiplying thru by 12 so as all denominators = 1
\n" ); document.write( "9s - 8s = -16 + 6 + 24
\n" ); document.write( "s = 14, sister's age NOW, boy is 10. $\"b%2B+2+=+%283%2F4%2916\"$ using 1st EQ to find b
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