if (a-b):(a+b)=1:11,find the ratio (5a+4b+15):(5a-4b+3).

Asked by anushkaagupta87 | 7th Jul, 2020, 06:55: PM

Expert Answer:

Given: (a-b):(a+b) = 1:11
 
fraction numerator a minus b over denominator a plus b end fraction equals 1 over 11
rightwards double arrow 11 left parenthesis a minus b right parenthesis equals a plus b
rightwards double arrow 11 a minus 11 b equals a plus b
rightwards double arrow 10 a equals 12 b
rightwards double arrow a over b equals 12 over 10 equals 6 over 5
rightwards double arrow 5 a equals 6 b
N o w comma space c o n s i d e r
left parenthesis 5 a plus 4 b plus 15 right parenthesis colon left parenthesis 5 a minus 4 b plus 3 right parenthesis
equals fraction numerator 5 a plus 4 b plus 15 over denominator 5 a minus 4 b plus 3 end fraction
equals fraction numerator 6 b plus 4 b plus 15 over denominator 6 b minus 4 b plus 3 end fraction
equals fraction numerator 10 b plus 15 over denominator 2 b plus 3 end fraction
equals fraction numerator 5 left parenthesis 2 b plus 3 right parenthesis over denominator 2 b plus 3 end fraction
equals 5

Answered by Renu Varma | 8th Jul, 2020, 10:22: AM