Question

If (a+b):ab=2:1 so a:b=?

Answer 1

Answer:

(a+b)/ab=2/1

(a+b)/2ab=2/2=1/1

(a+b+2ab)/(a+b-2ab)=1+1/1-1

(√a+√b)^2/(√a-√b)^2=1/0

(√a-√b)^2/(√a+√b)^2=0/1=0

(√a-√b)/(√a+√b)=0

√a-√b=0

√a=√b

a=b

a/b=1

so,

a:b=1:1

Answer 2

Step-by-step explanation:

a+b/ab = 2/1

=> a+b =2ab

=> a = 2ab -b

& b= 2ab -a

=> a:b = 2ab - b : 2ab - a

a+b/2a = b

a+b/2b = a

so a : b = a+b/2a : a+b/2b

=> a / b = a+b /2a × 2b/a+b

=> a/b = 2b/2a

=> a/b = b/a

=> a:b = b:a