document.write( "Question 953630: Five years ago I was thrice as old as my son and ten years later I shall be twice as old as my son. How old are we now?
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Algebra.Com's Answer #582408 by macston(5194)![]() ![]() You can put this solution on YOUR website! Five years ago I was thrice as old as my son and ten years later I shall be twice as old as my son. How old are we now? \n" ); document.write( "M=my age; S=son's age \n" ); document.write( "M-5=3(S-5) \n" ); document.write( "M-5=3S-15 Add 15 to each side. \n" ); document.write( "(M+10)=3S Divide each side by 3. \n" ); document.write( "(M+10)/3=S Use this to substitute for S. \n" ); document.write( "SITUATION A:If ten years later is later than 5 years ago: \n" ); document.write( "M+5=2(S+5) \n" ); document.write( "M+5=2S+10 Subtract 10 from each side. \n" ); document.write( "M-5=2S Substitute for S. \n" ); document.write( "M-5=2((M+10)/3) \n" ); document.write( "M-5=(2M+20)/3 Multiply each side by 3. \n" ); document.write( "3M-15=2M+20 Add 15 to each side. \n" ); document.write( "3M=2M+35 Subtract 2M from each side. \n" ); document.write( "M=35 ANSWER 1A: My age is 35 years old. \n" ); document.write( "2S=M-5 Divide each side by 2. \n" ); document.write( "S=(M-5)/2 \n" ); document.write( "S=(35yrs-5yrs)/2 \n" ); document.write( "S=30yrs/2=15yrs ANSWER 2A: The son is 15 years old. \n" ); document.write( "SITUATION B:If ten years later is later than now: \n" ); document.write( "M+10=2(S+10) \n" ); document.write( "M+10=2S+20 Subtract 20 from each side \n" ); document.write( "M-10=2S Substitute for S \n" ); document.write( "M-10=2((M+10)/3) \n" ); document.write( "M-10=(2M+20)/3 Multiply each side by 3. \n" ); document.write( "3M-30=2M+20 Add 30 to each side. \n" ); document.write( "3M=2M+50 Subtract 2M from each side. \n" ); document.write( "M=50 ANSWER 1B: My age is 50 years old \n" ); document.write( "2S=M-10 \n" ); document.write( "S=(M-10yrs)/2=(50yrs-10yrs)/2=40yrs/2=20 yrs ANSWER 2B: The son is 20 years old.\r \n" ); document.write( "\n" ); document.write( "PLEASE IN THE FUTURE TRY TO BE LESS AMBIGUOUS STATING THE QUESTION. \n" ); document.write( " |