Share

# If (A + B)/(Am + Bn)= (B + C)/(Mb + Nc )= (C + A)/(Mc + Na) Prove that Each of These Ratios is Equal to 2/(M+N)Provided a + B + C ≠ 0 - Mathematics

Course

#### Question

If (a + b)/(am + bn)= (b + c)/(mb + nc )= (c + a)/(mc + na) prove that each of theseccc 2/(m+n)provided  a + b + c ≠ 0

#### Solution

(a + b)/(am + bn)= (b + c)/(mb + nc )= (c + a)/(mc + na) 

" sumof antecedents"/"sumof consequents"

= (a + b+b+c+c+a)/(am + bn +mb+ nc +mc+na)

= (2(a+b+c))/(m(a+b+c) =n (a+b+c))

= 2/(m+n)

Is there an error in this question or solution?
If (A + B)/(Am + Bn)= (B + C)/(Mb + Nc )= (C + A)/(Mc + Na) Prove that Each of These Ratios is Equal to 2/(M+N)`Provided a + B + C ≠ 0 Concept: Ratio and Proportion Example.