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)\"\" \"About 
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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.
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