the ratio between the present ages of p and r is 5:3.the ratio between p's age 4 years ago and r's age 4 years hence is 1:1.what is the ratio between p's age 4 years hence and b's age 4 years ago

Asked by ajayrath7 | 29th May, 2017, 08:50: AM

Expert Answer:

begin mathsize 14px style Let space the space present space ages space of space straight p space and space straight r space be space straight x space years space and space straight y space years.
Then comma
straight x over straight y equals 5 over 3
rightwards double arrow 3 straight x equals 5 straight y
rightwards double arrow straight x equals fraction numerator 5 straight y over denominator 3 end fraction
4 space years space ago comma space straight p apostrophe straight s space age equals left parenthesis straight x minus 4 right parenthesis space years
4 space years space hence comma space straight r apostrophe straight s space age equals left parenthesis straight y plus 4 right parenthesis space years
Then comma
fraction numerator straight x minus 4 over denominator straight y plus 4 end fraction equals 1 over 1
rightwards double arrow straight x minus 4 equals straight y plus 4
rightwards double arrow straight x minus straight y equals 8
rightwards double arrow fraction numerator 5 straight y over denominator 3 end fraction minus straight y equals 8
rightwards double arrow fraction numerator 2 straight y over denominator 3 end fraction equals 8
rightwards double arrow straight y equals fraction numerator 8 cross times 3 over denominator 2 end fraction equals 12
rightwards double arrow straight x equals fraction numerator 5 cross times 12 over denominator 3 end fraction equals 20
Now comma
straight p apostrophe straight s space age space 4 space years space hence equals left parenthesis straight x plus 4 right parenthesis space years equals 20 plus 4 equals 24 space years
straight r apostrophe straight s space age space 4 space years space ago equals left parenthesis straight y minus 4 right parenthesis space years equals 12 minus 4 equals 8 space years
Required space Ratio equals 24 over 8 equals 3 over 1 equals 3 space colon space 1 end style

Answered by Rashmi Khot | 29th May, 2017, 02:01: PM

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