29. If (a-b): (a+b)-1:11; find the ratio (5a +4b+15): (5a-4b+3)-a) 5:2

1.	29. If (a-b): (a+b)-1:11; find the ratio (5a +4b+15): (5a-4b+3)-a) 5:2b) 2:5c) 1:5d) 5:1
Answer» Given,( a - b)/(a + b) = 1/11 in LHS divide by b both nominator and dinominator. =>(a/b - b/b)/(a/b + b/b) = 1/11 => (a/b -1)/( a/b + 1)=1/11 => 11(a/b) -11 =a/b + 1 =>10(a/b) =12 a/b =6/5 5a=6b let a =6k b= 5k now, => (5a + 4b +15)/(5a -4b +3) =? =>{ 5(6k) + 4(5k) +15}/{5(6k)-4(5k)+3} =>(30k +20k +15)/(30k-20k +3) =>(50k+15)/(10k+3) =>5(10k+3)/(10k+3) 5 : 1 (answer)

29. If (a-b): (a+b)-1:11; find the ratio (5a +4b+15): (5a-4b+3)-a) 5:2b) 2:5c) 1:5d) 5:1

Answer»

Given,( a - b)/(a + b) = 1/11

in LHS divide by b both nominator and dinominator.

=>(a/b - b/b)/(a/b + b/b) = 1/11

=> (a/b -1)/( a/b + 1)=1/11

=> 11(a/b) -11 =a/b + 1

=>10(a/b) =12

a/b =6/5

5a=6b

let a =6k b= 5k

now, => (5a + 4b +15)/(5a -4b +3) =?

=>{ 5(6k) + 4(5k) +15}/{5(6k)-4(5k)+3}

=>(30k +20k +15)/(30k-20k +3)

=>(50k+15)/(10k+3)

=>5(10k+3)/(10k+3)

5 : 1 (answer)