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

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
Found 3 solutions by ikleyn, Boreal, MathTherapy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

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 ?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
11a-11b=a+b
10a=12b
5a=6b
a/b=6/5****
a=(6/5)b
5(6b/5)+4b+15:5(6b/5)-4b+3
6b+4b+15:6b-4b+3
10b+15:2b-3
8b:-12
b=-3/2=-15/10
a=-9/5=-18/10
a-b=-3/10
a+b=-33:10
that is 1:11

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
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

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!
RELATED QUESTIONS
if (a-b) : (a+b) = 1:11, find the ratio (5a+4b+15) :... (answered by stanbon)
If 10a+2b=15 and 5a=4b,what is the value of a+b? (answered by Alan3354)
7a-4b-[5a-3{b-2(a-b)}] (answered by ladyluck4772)
10a + 2b = 15 and 5a = 4b, what is the value of a +... (answered by oberobic)
a=6 b=3 5a + b = ? (answered by lynnlo)
a-b/4b-4a (answered by stanbon)
a-b-3b+5a (answered by ikleyn)
Evaluate the variable expression 5a+(4b-c) when a=-2/5, b=4/5,... (answered by Alan3354)
SUBTRACT THE SUM OF 3a-4b+5c and -5a+7b-9c from a-b-c (answered by CubeyThePenguin)