Question

The compound ratio of (x+2):(x+3) and 5:6 is 2:3,find the value of x

Answer 1

(x+2)/(x+3) +5/6 =2/3

(x+2)/(x+3)=2/3-5/6=-1/6

6(x+2)=-1(x+3)

6x+12=-x-3

7x=-15

Answer 2

Answer:

x = 2

Step-by-step explanation:

compound ratio =

(product of antecedents) : (product of consequents)

therefore,

5(x + 2) / 6(x + 3) = 2/3

=> 3(5x + 10) = 2(6x + 18)

=> 15x + 30 = 12x + 36

=> 15x - 12x = 36 - 30

=> 3x = 6

=> x = 6/3 = 2

hence, x = 2