document.write( "Question 507242: Mary's age is 2/3 that of peter.2 years ago marys age was 1/2 of what petr age will be in5 years time,how old is peter know \n" ); document.write( "
Algebra.Com's Answer #340383 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present of age of Mary = m \n" ); document.write( "Present of age of Peter = p\r \n" ); document.write( "\n" ); document.write( "Mary's age is 2/3 that of Peter. \n" ); document.write( "m=2/3 * p \n" ); document.write( "m=2p/3 .............(1)\r \n" ); document.write( "\n" ); document.write( "2 years ago means we have to subtract 2 from their present ages \n" ); document.write( "m-2=p-2 \n" ); document.write( "then \n" ); document.write( "Mayr's age was 1/2 \n" ); document.write( "m-2=1/2(p-2) \n" ); document.write( "of what Peter age will be in 5 years time means we have add 5 to age of Peter what was it 2 years ago \n" ); document.write( "m-2=1/2[(p-2)+5)] \n" ); document.write( "Multiply by 2 both sides of the equation \n" ); document.write( "2(m-2)=2*1/2[(p+5)-2)] \n" ); document.write( "2m-4=(p+5)-2) \n" ); document.write( "2m-4=p+5-2 \n" ); document.write( "2m-4=p+3 \n" ); document.write( "2m-p=3+4 \n" ); document.write( "2m-p=7 \n" ); document.write( "Put the value of m from (1)in above equation \n" ); document.write( "2(2p/3)-p=7 \n" ); document.write( "(4p/3)-p=7 \n" ); document.write( "Multiply by 3 both sides of the equation \n" ); document.write( "4p-3p=21 \n" ); document.write( "p=21 \n" ); document.write( "Put the value of p in (1) \n" ); document.write( "m=2p/3 .............(1) \n" ); document.write( "m=2(21)/3 \n" ); document.write( "m=2*7 \n" ); document.write( "m=14\r \n" ); document.write( "\n" ); document.write( "Present of age of Mary = m = 14 years old \n" ); document.write( "Present of age of Peter = p = 21 years old\r \n" ); document.write( "\n" ); document.write( "Check\r \n" ); document.write( "\n" ); document.write( "Mary' age = 2/3 Peters age \n" ); document.write( "14 = 2/3 * 21 \n" ); document.write( "14 = 42/3 \n" ); document.write( "14 = 14 \n" ); document.write( "2 years ago Mary's age = 14-2 = 12 \n" ); document.write( "2 years ago Peter's age = 21-2 = 19 \n" ); document.write( "after 5 years Peter's age = 19 + 5 = 24 which is twice the age of Mary or Mary's age 1/2 of the Peter. \n" ); document.write( " |