Question 1086088
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+15/5a-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
<pre>{{{(a - b)/(a + b) = 1/11}}}
11(a - b) = (a + b) ------ Cross-multiplying
11a - 11b = a + b
10a = 12b
{{{a = 6b/5}}}

{{{(5a + 4b + 15)/(5a - 4b + 3) }}}
{{{(5 * (6b/5) + 4b + 15)/(5 * (6b/5) - 4b + 3)}}} ------ Substituting {{{6b/5}}} for a
{{{(10b + 15)/(2b + 3)}}}
{{{highlight_green(matrix(1,5, 5(2b + 3)/(2b + 3), "=", 5cross((2b + 3))/cross((2b + 3)), "=", highlight(5)))}}}
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!