document.write( "Question 402168: My brother is 23 years old and my sister is 20 years old. Find the sum of their ages when the ratio of their ages is 3:2? \n" ); document.write( "

Algebra.Com's Answer #284544 by Jk22(389) $\"\"$ $\"About$

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when the ratio is 3:2, hence with an offset of n years, then (23+n)/(20+n)=3/2
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\n" ); document.write( "we have then to find 23+n+20+n=43+2n
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\n" ); document.write( "we need to find n from the first equation : 2*(23+n) = 3(20+n)
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\n" ); document.write( "46+2n = 60 + 3n, or n = 46-60 = -14 years. This was the case 14 years ago.
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\n" ); document.write( "then the sum is : 6+9= 15 years.
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