SOLUTION: If (a-b):(a+b)=1:11,find the ratio (5a+4b+15):(5a-4b+3) My solution a-b/a+b=1/11 11a-11b=a+b 10a=12b a/b=5/6 Let a =5p , b=6p Substituting this value in equation 5a+4b+15/5

If (a-b):(a+b)=1:11,find the ratio (5a+4b+15):(5a-4b+3)
My solution
a-b/a+b=1/11
11a-11b=a+b
10a=12b
a/b=5/6                                <<<---=== THIS LINE IS WRONG.  See my solution below,
Let a =5p , b=6p
Substituting this value in equation
5a+4b+15/5a-4b+3
5*5p+4*6p+15/5*5p-4*6p+3
25p+24p+15/25p-24p+3
I am not able to solve now please check this question and tell me the correct answer

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

My () solution

a-b/a+b=1/11

11a-11b=a+b

10a=12b

a/b=6/5                              

Let a =6p , b=5p

Substituting this value in equation

5a+4b+15/5a-4b+3

5*6p+4*5p+15/5*6p-4*5p+3

30p+20p+15/30p-20p+3

Can you complete on your own from this point ?

11(a - b) = (a + b) ------ Cross-multiplying

11a - 11b = a + b

10a = 12b







 ------ Substituting  for a





A question for you, "Why do you have p or why did you introduce p - A DIFFERENT VARIABLE - into this SIMPLIFICATION?"

BTW: BOREAL's attempt makes absolutely NO SENSE, so IGNORE it!