document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511352>Question 511352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 5 years the ratio of Alvaro’s age to Alyssa’s age will be 3:5.  In ten years, the ratio of Alvaro’s age to Alyssa’s age will be 2:3.  What is the sum of their current ages?<BR>\n" );
document.write( "Answer<BR>\n" );
document.write( "	 a.	20<BR>\n" );
document.write( "	 b.	30<BR>\n" );
document.write( "	 c.	35<BR>\n" );
document.write( "	 d.	40<BR>\n" );
document.write( "	 e.	15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342171 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=342171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "Present age of Alvaro =a<BR>\n" );
document.write( "Present age of Alyssa =s<BR>\n" );
document.write( "============================================================================<BR>\n" );
document.write( "In 5 years means we have add 5 in their present age<BR>\n" );
document.write( "Alvaro’s age in five years = a+5<BR>\n" );
document.write( "Alyssa’s age in five years = s+5<BR>\n" );
document.write( "Then the ratio of Alvaro’s age to Alyssa’s age will be 3:5<BR>\n" );
document.write( "(a+5):( s+5) = 3:5<BR>\n" );
document.write( "a+5 / s+5 = 3/5<BR>\n" );
document.write( "5(a+5)=3(s+5)<BR>\n" );
document.write( "5a+25=3s+15<BR>\n" );
document.write( "5a=3s+15-25<BR>\n" );
document.write( "5a=3s-10<BR>\n" );
document.write( "a=(3s-10)/5.................(1)<BR>\n" );
document.write( "In ten years, the ratio of Alvaro’s age to Alyssa’s age will be 2:3. Same procedure will be applied for 10 years<BR>\n" );
document.write( "(a+10):( s+10) = 2:3<BR>\n" );
document.write( "a+10 / s+10 = 2/3<BR>\n" );
document.write( "3(a+10)= 2(s+10)<BR>\n" );
document.write( "3a+30=2s+20<BR>\n" );
document.write( "3a=2s+20-30<BR>\n" );
document.write( "3a=2s-10<BR>\n" );
document.write( "a=(2s-10)/3……………………(2)<BR>\n" );
document.write( "Put the value of a from (1) to (2)<BR>\n" );
document.write( "(3s-10)/5=(2s-10)/3<BR>\n" );
document.write( "(3)(3s-10)=(5)(2s-10)<BR>\n" );
document.write( "9s-30=10s-50<BR>\n" );
document.write( "9s-10s=10s-50+30<BR>\n" );
document.write( "-s=-20<BR>\n" );
document.write( "Multiply by (-1) both sides<BR>\n" );
document.write( "s=20<BR>\n" );
document.write( "Put the value s in (1)<BR>\n" );
document.write( "a=(3s-10)/5……………………..(1)<BR>\n" );
document.write( "a=(3(20)-10)/5<BR>\n" );
document.write( "a=(60-10)/5<BR>\n" );
document.write( "a=50/5<BR>\n" );
document.write( "a=10<BR>\n" );
document.write( "=============================================================================<BR>\n" );
document.write( "Present age of Alvaro =a=10 years old<BR>\n" );
document.write( "Present age of Alyssa =s = 20 years old<BR>\n" );
document.write( "Sum of their ages = 20+10 = 30<BR>\n" );
document.write( "==============================================================================<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "(a+5):( s+5) = 3:5<BR>\n" );
document.write( "(10+5):(20+5)=3:5<BR>\n" );
document.write( "15:25=3:5<BR>\n" );
document.write( "3:5=3:5<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "(a+10):( s+10) = 2:3<BR>\n" );
document.write( "(10+10):(20+10) = 2:3<BR>\n" );
document.write( "20:30=2:3<BR>\n" );
document.write( "2:3=2:3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );