Question

If A : B = 4 : 9 and A : C = 2 : 3. Find B : C and A : B : C​

Answer 1

Step-by-step explanation:

Given, A/B=4/9, so A=4B/9-----1 A/C=2/3, so A=2C/3-----2 1 and 2 are equal to A so 4B/9=2C/3, B/C=3/2(3:2) 2)A/B=4/9---A=4x, B=9x A/C=2/3----A=2y, C=3y B/C=3/2---B=3z, C=2z we have to find, 4x:3z:3y------1 for this substitute z and y in terms of x and simplify for eg. 4x=2y, y=2x same way substitute for z also 2z=3y, 2z=3(2x) finally we get it as 4x:9x:6x=4:9:6